SOLUTION: Use logs on both sides of the equation 9^28 - 9^27 / 8 = 3^x to find the unknown Please show all steps The 8 is dividing (9^28

SOLUTION: Use logs on both sides of the equation 9^28 - 9^27 / 8 = 3^x to find the unknown Please show all steps The 8 is dividing (9^28 - 9^27)

Question 133258: Use logs on both sides of the equation
9^28 - 9^27 / 8 = 3^x to find the unknown
Please show all steps
The 8 is dividing (9^28 - 9^27)
Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Given :

x = 81
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Rewrite into

Break up into through the identity

Factor out the GCF

Evaluate to get 9

Subtract

Cancel like terms

Simplify

Rewrite as

Multiply the exponents. Remember,

Multiply

Since the bases are equal, the exponents are equal. So this means that
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