SOLUTION: what is 2 to the power of (12-2x)= 16 ? using logarithms

Algebra.Com
Question 246725: what is 2 to the power of (12-2x)= 16 ? using logarithms
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Well we know that 2^4=16
but we want to use logarithms.
so take the log in base 2 of both sides. Log 16 base 2 also happens to be 4
12-2x=4
8=2x
4=x
everything is coming up roses (4)
check
2^(12-2*4)=2^(12-8)=2^4=16
ok

RELATED QUESTIONS

using the law of logarithms, solve for the following indicial equation for x each correct (answered by DrBeeee)
How do you solve something like this: 2x=64 (2 to the x power equals 64) using... (answered by nerdybill)
What is 2x to the power of 2 + 3x + 1... (answered by richwmiller)
Use logs (any base) to find the unknown: 2 to the power of 2x^2-3x = 2 to the power of (answered by jim_thompson5910)
What is the answer for 3 to the power of x+1 = 2 raise to the power of 2x + 1? (answered by lwsshak3)
What is the linear factor of 2x*-x-6? *=2 (2x to the second power)... (answered by solver91311)
Hi What is the answer please use logarithms to solve for x 2^x3^2x = 6 (answered by KMST)
What is 3y to the power of 2 - 2y using distributive property (show... (answered by nyc_function)
What is the formula for solving this problem Solve the equation two ways: by equating... (answered by stanbon)