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How can I evaluate this?


Chikis

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[MATH]\frac{3.87^3+20}{3.87^3-20}[/MATH]

I want solve the above using logarithm. I don't know how to solve it using logarithm because I can't deal with this: [MATH]\frac{10^{(0.5877)3}+10^{1.3010}}{10^{(0.5877)3}-10^{1.3010}}[/MATH]

If this is given: [MATH]\frac{3.87^3\times20}{3.87^3\times20}[/MATH] It would have been easiar for me to solve if I add and subtract all the powers that has base 10. Please I need help.

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You should have solved the problem with ease by simply using normal mathematics, bypassing logarithm. Does the question state that logarithm must be used? From post #3, simply add 0.5877(3) and 1.3010 for the upper part and 0.5877(3) minus 1.3010 for the bottom part.

 

You get 10 to the power of [0.5877(3)+1.3010] divides by 10 to the power of [0.5877(3)-1.3010]

 

Then, further simplify the equation and you get 10 to the power of {[0.5877(3)+1.3010]-[0.5877(3)-1.3010]}

 

I can only help with high school maths. Sorry.


The answer is approximately 400. Try and see.

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Why will taking the log(77.960603) and subtracting log(37.960603) and then taking the antilog not give your answer?

It will of course. I was wondering if the OP was looking for some clever simplification here. I cannot see anything past your suggestion. The log is not not linear so nothing nice will happen with the sum.

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