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17 votes
How do I solve 6^x-2=1/216 ?

User TunaMaxx
by
5.7k points

1 Answer

4 votes

Answer:

x=-1

Explanation:

Write the number in exponential form with the base of 6

6^x-2 =6^-3

Since the bases are the same, set the exponents equal

x-2= -3

Move the constant to the right- hand side and change its sign

x= -3+2

Calculate the sum

x= -1

User Oliver Matthews
by
4.7k points