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polet [3.4K]
3 years ago
5

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

e Example 9.
log5 12
Mathematics
1 answer:
sesenic [268]3 years ago
3 0

Answer:

Log_5 12=1.54

Step-by-step explanation:

We are given that

Log_5 12

We have to find the value of given logarithms by using change-base formula

Base-change formula:

log_a b=\frac{Log_x b}{Log_x a}

Where x=New base

Using the formula then, we get

Log_5 12=\frac{log_{10} 12}{log_{10} 5}

Substitute the values log_{10}12=1.079, log_{10}5=0.699

Then,we get

Log_5 12=\frac{1.079}{0.699}

Log_5 12=1.54

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