Posted by **chacho ** on Wednesday, January 23, 2013 at 10:40am.

How to solve X^(5-log x^3)=100

- Math -
**Steve**, Wednesday, January 23, 2013 at 12:07pm
taking log_{10} of both sides,

(5-logx^3) logx = log100

(5 - 3logx)logx = 2

for ease of reading let u = logx, so we have

(5-3u)u = 2

3u^2 - 5u + 2 = 0

(3u-2)(u-1) = 0

u = 1 or 2/3

so, x = 10^1 = 10, or

x = 10^2/3 = ∛100

## Answer This Question

## Related Questions

- algebra - Solve log 1/100 = log(10x + 2). Do you mean (log 1)/100 or log (1/100...
- math - Logarithm!!! Select all of the following that are true statements: (a) ...
- Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...
- Math - h(x) = log (6x+5/7x-4) Find a formula for the inverse function h^-1(x) h...
- math(Please help) - 1) use the properties of logarithms to simplify the ...
- Math - Logarithms - can someone pleaaase help me with these "solve for x": a) ...
- math - solve for x without using a calculator 5^(x+1) = 25 i know that x would ...
- Math - solve log(7x-3)+2log(5)=2+log(x+3) I've attempted to do this question ...
- TRig WIth LoGs help1!! - i have problem i can't solve and the book is no help.. ...
- precalc - I don't understand how to do these w/o calc. I tried to write it in a ...

More Related Questions