SOLUTION: Solve for X: log 16 (1/4) = x I know b= 16 and y = 1/4 but can't seem to figure this problem out. Thank you

Algebra.Com
Question 634581: Solve for X:
log 16 (1/4) = x
I know b= 16 and y = 1/4 but can't seem to figure this problem out. Thank you

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
log 16 (1/4) = x
base = 16
exponent = log = x
result = (1/4)
----
16^x = 1/4
----
(2^4)^x = 2^-2
---
2^(4x) = 2^-2
---
4x = -2
x = -1/2
=============
Cheers,
Stan H.

RELATED QUESTIONS

I have this exponential equation that I cannot seem to solve: 5^x = 4^x+1 I didn't... (answered by greenestamps,ikleyn)
Which of these equations are equivalent to 16? 3[7x-4(x-3)]+1=16 A:9x-2=16... (answered by richwmiller)
Hello, First of all thank you for this site! My question is 1/3(4z-3)=4x-5. I... (answered by htmentor)
Okay, only four problems left for my homework assignment and I cannot figure them out (go (answered by Earlsdon)
3x+y=4-3x 2y=x+9 I can figure the problem out all the way until I have the fraction... (answered by mananth)
I can't seem to figure out this problem, can someone please help me? 1-2/x -----... (answered by jim_thompson5910)
Help! I have been trying to figure out this word problem for 3 days now, and I can't seem (answered by stanbon)
What is a story problem for {{{ y=-2/3 x-1 }}} I cant seem to figure this out. Thank you (answered by josgarithmetic)
Multiply: -3a^2b 14a^3b^2 --------- * --------- 35a^5 -9b^4 I... (answered by ankor@dixie-net.com)