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which of the following equations is equivalent to log(y) = 4.876
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which of the following equations is equivalent to log(y) = 4.876
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Mathematics
3 years
2021-08-27T16:52:47+00:00
2021-08-27T16:52:47+00:00 1 Answers
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Answer:
Step-by-step explanation:
Logarithms are just another way of arranging an exponential equation! You know how you can rearrange the equation 2 + 3 = 5 as 5 – 3 = 2, or the equation 2 x 3 = 6 as 6 ÷ 3 = 2? With logarithms, you can do the same thing with an equation like 2³ = 8. As a logarithm, we would write this equation as log₂(8) = 3. Here, we call 2 the base, 8 the argument, and 3 the exponent.
Logarithms like the one in the problem with a base of 10 are just written as log, without the base written out. In the equation log(y) = 4.876, our base is 10, our argument is y, and our exponent is 4.876, so as an exponential equation, we would write it as