SOLUTION: how do you solve the problem log16 32= x+3 16 is the base

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Question 600334: how do you solve the problem log16 32= x+3
16 is the base
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%2816%2C%2832%29%29=x%2B3 Start with the given equation


log%2816%2C%2832%29%29-3=x Subtract 3 from both sides


x+=+log%2816%2C%2832%29%29-3 Flip the equation


x+=+%28log%2810%2C%2832%29%29%29%2F%28log%2810%2C%2816%29%29%29-3 Expand the log using the change of base formula.


x+=+%28log%2810%2C%282%5E5%29%29%29%2F%28log%2810%2C%282%5E4%29%29%29-3 Rewrite 32 as 2%5E5 and 16 as 2%5E4


x+=+%285%2Alog%2810%2C%282%29%29%29%2F%284%2Alog%2810%2C%282%29%29%29-3 Pull down the exponents.


x+=+5%2F4-3 Divide and cancel out like terms.


x+=+-7%2F4 Combine the fractions.


So the exact solution is x+=+-7%2F4