Question

Solve 5^(x + 5) = 9^x.
Please Explain how the answer was determined! Thank you! :)

Answer 1

\[x^{a+b} = x^a * x^b\]
we have:\[5^x * 5^5 = 9^x\]\[5^5 = \left( \frac{ 9 }{ 5 } \right)^x = 3125\]

can you solve for x now?

Answer 2

I'm having trouble with solving exponential equations with unequal bases. My best bet at solving this problem would be with your help (if you want to provide it). :) So to answer your question I cannot solve for x without your help. :)

Answer 3

Have you met the logarithm?

Answer 4

\[x = \frac{ \log(3125) }{ \log(9/5) }\]