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m_a_m_a [10]
3 years ago
9

Which logarithmic equation is equivalent to this exponential equation? 12=5^x

Mathematics
1 answer:
Brut [27]3 years ago
5 0

Given:

The equation is:

12=5^x

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

a=b^x\Leftrightarrow \log_b a=x

We have,

12=5^x

Here, a=12,b=5. By using the above property of logarithm, we get

\log_{5}12=x

x=\log_{5}12

Therefore, the correct option is C.

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