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guajiro [1.7K]
3 years ago
13

Which exponential equation is equivalent to the logarithmic equation below?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0

Answer:

10^a=982

Step-by-step explanation:

Given : \log 987 = a

To Find: Which exponential equation is equivalent to the logarithmic equation below?

Solution:

\log 987 = a

\log_{10} 987 = a

10^{\log_{10} 982} = 10^a ---1

Now using property : a^{\log_{a}x} = x

So, comparing 1 with property

982 = 10^a

Thus Option B is correct.

Hence 10^a=982 exponential equation is equivalent to the logarithmic equation below

eduard3 years ago
6 0
B, raise 10 to the power of both sides of the equation, and when you have 10^log(x), it just becomes x, so 10^a=10^log(987)=987

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