SOLUTION: Rewrite to exponential form and solve for x. Logx^5.0625=4 I was able to change it to exponential form but wasn't able to solve for x. X^4=5.0625 Now I need help to sol

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Rewrite to exponential form and solve for x. Logx^5.0625=4 I was able to change it to exponential form but wasn't able to solve for x. X^4=5.0625 Now I need help to sol      Log On


   



Question 1025938: Rewrite to exponential form and solve for x.
Logx^5.0625=4
I was able to change it to exponential form but wasn't able to solve for x.
X^4=5.0625
Now I need help to solve for x.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Logx^5.0625=4
What base? Assuming base-ten.
log%2810%2C%28x%5E5.0625%29%29=4
5.0625%2Alog%2810%2Cx%29=4
log%2810%2Cx%29=4%2F5.0625
log%2810%2Cx%29=0.79012

10%5E0.79012=x

x=6.168-----using the 10^x key on scientific calculator.

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

Rewrite to exponential form and solve for x.
Logx^5.0625=4
I was able to change it to exponential form but wasn't able to solve for x.
X^4=5.0625
Now I need help to solve for x.
Based on what you've done so far, the equation seems to be: log+%28x%2C+%285.0625%29%29+=+4 
This, in EXPONENTIAL form, as you stated is: x%5E4+=+5.0625
matrix%282%2C1%2C+%22+%22%2C+x%5E%284+%2A+%281%2F4%29%29+=+5.0625%5E%281%2F4%29%29 --------- Raising each side to the %281%2F4%29%5E%28th%29 power
matrix%282%2C1%2C+%22+%22%2C+x%5E1+=+5.0625%5E%281%2F4%29%29__________highlight_green%28x+=+1.5%29%29