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What is the base of log(x) = 100? Explain.​

What is the base of log(x) = 100? Explain.​-example-1
User Trev
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2 Answers

4 votes

Answer:

the value of x will depend on the base of the logarithm.

Explanation:

The base of a logarithm is the number that is used as a factor in the exponential equation that defines the logarithm. For example, in the logarithmic equation log10(x) = 100, the base is 10.

In the equation log(x) = 100, the base of the logarithm is not given. In order to solve for x, we need to know the base of the logarithm. Without this information, we cannot find the value of x.

For example, if the base of the logarithm is 10, we can rewrite the equation as log10(x) = 100, and then use the following property of logarithms to solve for x:

log10(x) = 100

10^(log10(x)) = 10^100

x = 10^100

On the other hand, if the base of the logarithm is 2, we can rewrite the equation as log2(x) = 100, and then use the following property of logarithms to solve for x:

log2(x) = 100

2^(log2(x)) = 2^100

x = 2^100

User Michael Mahony
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4 votes

Answer:

10

Explanation:

If no base is written, the common logarithm is implied.

User Sudeep
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