SOLUTION: {{{2^(logx)=4*x}}} I started with: {{{2^(logx)=2^2*x}}} then got: Logx=2*x don't know where to go from there

SOLUTION: {{{2^(logx)=4x}}} I started with: {{{2^(logx)=2^2x}}} then got: Logx=2*x don't know where to go from there

Question 244851:
I started with:

then got:
Logx=2*x
don't know where to go from there
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

Take the log of each side:

Subtract logx from each side:

Factor out the logx:

Divide both sides by (log2-1):

Finally, raise both sides as a power of 10:
.

This comes out to approximately .137609.

I checked this with a graphing calculator, and it is correct!!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida

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