SOLUTION: solve for the value of x in 4^x=32 is it 4?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve for the value of x in 4^x=32 is it 4?      Log On


   

Question 86908: solve for the value of x in 4^x=32
is it 4?
Answer by Flake(45) About Me  (Show Source):
You can put this solution on YOUR website!
You should test your answer if X is 4.
---check: 4^4 = 4*4*4*4 = 256 (not equal 32, so X should not be 4)
---Solution:
4%5Ex=32+
ln%284%5Ex%29=ln%2832%29+
becomes xln%284%29=ln%2832%29+
becomes x=ln%2832%29%2Fln%284%29+
becomes x=3.456%2F1.386+
x=2.5+
Using the calculator to do ln(32)/ln(4) will give you exactly 2.5 without rounding.