SOLUTION: solve for x: a. log3(4x-7)=2 b. logx64=2 c. 2^(x+3)=8 d. log2(16)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve for x: a. log3(4x-7)=2 b. logx64=2 c. 2^(x+3)=8 d. log2(16)       Log On


   

Question 737076: solve for x:
a. log3(4x-7)=2
b. logx64=2
c. 2^(x+3)=8
d. log2(16)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
a.
log3(4x-7)=2
4x-7=3^2
4x-7=9
4x=16
X = 4
.
b.
logx64=2
64=X^2
8=X (Ignore the negative results -- extraneous)
.
c.
2%5E%28x%2B3%29=8
x%2B3=log%282%2C8%29
x%2B3=log%282%2C2%5E3%29
x%2B3=3
x=0
.
d.
log2(16)
log2(2^4)
4