SOLUTION: Solve for x: {{{5*6^(2x-3)+1=8}}}

Question 130626: Solve for x:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 1 from both sides

Divide both sides by 5

Take the log of both sides

Rewrite the left side using the identity

Divide both sides by

Now use the change of base formula to simplify to get

Add 3 to both sides

Divide both sides by 2 to isolate x
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