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How to solve (log 5) / (log4)

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Final answer:

To solve (log 5) / (log 4), use the change of base formula for logarithms, dividing log(5) by log(4) using a calculator with the log function.

Step-by-step explanation:

To solve the expression (log 5) / (log 4), we can use the change of base formula for logarithms. The change of base formula states that the logarithm of a number with one base (in this case, 5) can be converted into a logarithm with a different base (in this case, 4) by dividing the two logarithms. In mathematical terms, this would be written as logb(a) = (logc(a)) / (logc(b)), where c is the new base. The property applies for any base, including the natural logarithm (ln) and common logarithm (log).

You can solve this by using a calculator. To obtain the common logarithm of a number, press the log button on your calculator. For this problem, you would calculate log(5) and then log(4), and then divide the first by the second. This will give you the value of (log 5) / (log 4).

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