Solving Exponential Equation different base(non common)

Here's the problem:

I can get it to this by taking the log of both sides:

Now I could just use a calculator and get the value for the right side and the clean it up. But how would I finish this problem and get the answer in terms of log or ln. Can someone give me a hand? Thanks!

Re: Solving Exponential Equation different base(non common)

Just cross multiply and collect terms containing x on one side. You will have

2x log 2 + 12 log 2 = x log 3 - 34 log 3

x log 4 + 12 log 2 = x log 3 - 34 log 3

x log 4 - x log 3 = - 12 log 2- 34 log 3

x log 4/3 = - 12 log 2- 34 log 3 etc.

Re: Solving Exponential Equation different base(non common)

Re: Solving Exponential Equation different base(non common)

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