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Elena L [17]
3 years ago
8

Which equation represents a proportional relationship?

Mathematics
1 answer:
Aneli [31]3 years ago
7 0
And which is the equation?
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Which equation is equivalent to log^x36=2?
Dennis_Churaev [7]

The equation which is equivalent to \log _{x} 36=2 is x^{2}=36 or x = 6 (\log _{6} 36=2).

<u>Step-by-step explanation:</u>

Given Equation:

           \log _{x} 36=2

As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:

           b^{y}=a

Then, the base b logarithm of x is equal to y

           \log _{b}(x)=y

Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,

            b^{y}=a

            x^{2}=36

When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as \log _{6} 36=2

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