Reading equations, expressions ...

How to read this equation:
x^3 + sqrt(3)*x^2 + (lg3 + ln5)*x - (10 + sqrt(5))/3 = 0
Glossaries:
1. ^ : for example, 2^2=4; 3^2=9
2. sqrt : square root, for example, sqrt(4)=2; sqrt(9) = 3
3. * : multiplying sign, for example, 2*3=6
4. lg : 10-based logarith, for example, lg10 = 1 ; lg(10^2) = 2 ...
5. ln : e-based logarith, for example, lne = 1 ; ln(e^2) = 2 ...
e is a constant with the value equal to 2.718281828...

6. / : dividing sign, for example, 6/3 = 2.
Thank you so much!

'x cubed plus [the square] root [of] 3 [multiplied] by x squared + x into log 3 + log to the base e + 10 equals/is equal to zero

[I never did logs to the base e, so don't take it from me. In my world (before 1968) a log was a log to the base 10!]

b

I believe ln5 would be said the natural log of 5.

x^3 + sqrt(3)*x^2 + (lg3 + ln5)*x - (10 + sqrt(5))/3 = 0

BobK said:

'x cubed plus [the square] root [of] 3 [multiplied] by x squared + x into should that be multiplied by?)log 3 + log to the base e5 +(minus!) 10 plus [the square] root [of] 5 over 3 equals/is equal to zero

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I think you missed a bit there.
NB. There is no guarantee that my additions are correct - I was just pointing them out.

fivejedjon said:

x^3 + sqrt(3)*x^2 + (lg3 + ln5)*x - (10 + sqrt(5))/3 = 0I think you missed a bit there.
NB. There is no guarantee that my additions are correct - I was just pointing them out.

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Thank you so much, I think BobK had answered my question before I edited (changed + 10 into -(10 + sqrt(5))/3 )
Could you please tell me the other way of reading with a consideration to the parenthesises?
Thank you very much!

crazYgeeK said:

Thank you so much, I think BobK had answered my question before I edited (changed + 10 into -(10 + sqrt(5))/3 )
Could you please tell me the other way of reading with a consideration to the parenthesises?

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Sorry, I'll have to leave that to the experts. Spotting that something was missing was all I could do.

crazYgeeK said:

...
Could you please tell me the other way of reading with a consideration to the parenthes[STRIKE]is[/STRIKE]es?
Thank you very much!

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I'd be guessing. Better leave it to a mathematician.

[The plural of parenthesis is parentheses. I usually avoid Latin/Greek plurals - a few eyebrows may have been raised at my 'corposes' recently ;-) - but this one is generally observed; the plural is pronounced /pǝ'renθǝsi:z/ - only four syllables.]

b

View image: 564dc2d2efd1389d6e3a80aac254f829
It is extremely difficult to read this without any ambiguities if you don't say where the parentheses go. Trying to follow any kind of logic may cause a misunderstanding. I would recommend just reading the symbols as they are written down.

x cubed plus the square root of three multiplied by x squared plus -- open parentheses -- log three plus natural log five -- close parentheses -- multiplied by x minus -- open parentheses -- ten plus the square root of five -- close parentheses -- divided by three equals zero.

Note that the listener must know that you are listing all of the parentheses. Otherwise, they may understand that, for example, there are parentheses enclosing

x - (10 + sqrt(5)).

crazYgeeK said:

4. lg : 10-based logarith, for example, lg10 = 1 ; lg(10^2) = 2 ...
5. ln : e-based logarith, for example, lne = 1 ; ln(e^2) = 2 ...

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Note that it is "logarithm".

birdeen's call said:

Note that it is "logarithm".

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:up: And the 'm' is syllabic - the IPA has a diacritic to indicate a syllabic consonant; but for English Lang teaching the usual transcription is /əm/. (I think this is a shame, but many more experienced teachers than me favour it, so who am I to object?)

b