SOLUTION: Solve the equation analytically and show all your work, (NO Calculator0
log16^x + log4^x + log2^x = 7
(that is log base 16 to the power of x, etc.)
Thanks
Algebra.Com
Question 111726: Solve the equation analytically and show all your work, (NO Calculator0
log16^x + log4^x + log2^x = 7
(that is log base 16 to the power of x, etc.)
Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
Rewrite 16 as and 4 as
Distribute and multiply the exponents
Combine the logs using the identity
Combine the expression using
Add the exponents
Rewrite the left side using the identity
Divide both sides by
Reduce
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