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zalisa [80]
4 years ago
13

Q4 Q14.) Solve the following exponential equation by expressing each side as a power of the same base and then equating exponent

s.

Mathematics
1 answer:
sashaice [31]4 years ago
4 0
Hello there!

Let me try this one out!

6 ^{x-6} =  \frac{1}{1296}

We can start by taking log of both sides

log(6 ^{x-6}) = log( \frac{1}{1296})

(x - 6)(log(6)) = log( \frac{1}{1296})

Since we are solving for x:

x - 6 =  \frac{log(1/1296)}{log(6)}

I used a calculator to help me solve the right part :)

x - 6 = - 4

Now we can add 6 on both sides

x - 6 + 6 = - 4 + 6

x = 2

I hope this helps! Let me know if you have any questions about the answer.
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