The expression into a single logarithm is
Step-by-step explanation:
Let us revise some logarithmic rules
∵ 10 log(x) + 5 log(64)
- At first re-write 10 log(x)
∴ 10 log(x) =
- Then re-write 5 log(64)
∴ 5 log(64) =
∴ 10 log(x) + 5 log(64) = +
- Use the 3rd rule above to make it single logarithm
∵ +
=
∴ 10 log(x) + 5 log(64) =
∵ 64 = 2 × 2 × 2 × 2 × 2 × 2
∴ We can write 64 as
∴
- Multiply the two powers of 2
∴
∴ 10 log(x) + 5 log(64) =
The expression into a single logarithm is
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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