What is the answer to 2=log_{10}(4pix)-log_{10}(pi) ?

The answer to 2=log_{10}(4pix)-log_{10}(pi) is x=25

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2=log_{10}(4pix)-log_{10}(pi)

2 = lo g_{10} (4 π x) - lo g_{10} (π)

x = 25

Solution steps

2 = lo g_{10} (4 π x) - lo g_{10} (π)

Switch sides

lo g_{10} (4 π x) - lo g_{10} (π) = 2

Move

lo g_{10} (π)

to the right side

lo g_{10} (4 π x) = 2 + lo g_{10} (π)

Apply log rules

4 π x = 100 π

Solve

4 π x = 100 π : x = 25

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

lo g_{6} (x) = 0

lo g_{5} (4 x - 8) = 2

lo g_{6} (2 x + 3) = 3

0 = ln (x - 2)

x, 5 lo g_{3} (x + 11) = 5

What is the answer to 2=log_{10}(4pix)-log_{10}(pi) ?
The answer to 2=log_{10}(4pix)-log_{10}(pi) is x=25