SOLUTION: Solve. Where appropriate, approximations to the nearest thousandth. If no solution exists, state this. log(base x)*log(base 2)32=2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve. Where appropriate, approximations to the nearest thousandth. If no solution exists, state this. log(base x)*log(base 2)32=2      Log On


   

Question 1131794: Solve. Where appropriate, approximations to the nearest thousandth. If no solution exists, state this.
log(base x)*log(base 2)32=2
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

IF you have this:
log%28x%2Clog%28+2%2C32%29%29=2+....-> log%28+2%2C32%29=log%28+2%2C2%5E5%29=5
log%28x%2C5%29=2+........convert to base 10
log%285%29%2Flog%28x%29=2+
log%285%29=2log%28x%29+
log%285%29=log%28x%5E2%29+=>
5=x%5E2
x=sqrt%285%29


Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


The equation as you show it has no meaning. The left side of the equation shows the product of two things, "log(base x)" and "log(base 2)32". But "log(base x)" has no meaning.