Thursday

July 24, 2014

July 24, 2014

Posted by **log** on Thursday, July 2, 2009 at 7:49am.

given that

4^(2x+1) X 7^(x-1) = 8^x X 14^2x

evaluate 14^x

this is what i did, but i got stuck anyways.

2^(4x+2) X 7^(x-1) = 2^3x X 14^2x

2^(x+2) = 2^2x X 7^(x+1)

sorry this might be a bit confusing, but the big letter X is 'multiply'

- log -
**drwls**, Thursday, July 2, 2009 at 8:38am4^(2x+1) * 7^(x-1) = 8^x * 14^2x

4^2x * 4 * 7^x /7 = (4*2)^x * (7^x)^2

(4/7)*(4^x)^2 = 4^x * 2^x * 7^x

(4/7)* 4^x = 2^x * 7^x

(4/7)* (2*2)^x = 2^x * 7^x = (14^x)

(4/7)*2^x = 14^x = (2*7)^x

(4/7) = 7^x

x log 7 = log (4/7) = -.559616

x = -.28758

14^x = 0.46816

Check my thinking. There may be a mistake along the way.

I used base e log to get x, but the base doesn't matter in this case.

**Related Questions**

chemistry - Please, can someone help? Evaluate log 1. This is my work up until I...

trigonometry - This is an outline that i have to use to find the solution of the...

Trigonometry /Logarithms (brace yourself) - This is an outline that i have to ...

trigonometry repost . - This is an outline that i have to use to find the ...

algebra homework - please check my answers. Solve the logarithmic equation. Be ...

Trig - log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i...

Pre Calculus - Evaluate log b {square root of 10b}, given that log b 2 = 0.3562 ...

math - Logarithm!!! Select all of the following that are true statements: (a) ...

chem - this is my question Calculate the hydronium ion consentration and the ...

math - how do i solve for x when x = log(32.5)? here's my work: log x = y 10^y...