What is the inverse of y= 1/3 log_{10}(3x) ?

The inverse of y= 1/3 log_{10}(3x) is (1000^x)/3

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inverse of y= 1/3 log_{10}(3x)

inverse

y = \frac{1}{3} lo g_{10} (3 x)

\frac{100 0 ^{x}}{3}

Solution steps

y = \frac{1}{3} lo g_{10} (3 x)

Replace

x

with

y

x = \frac{1}{3} lo g_{10} (3 y)

Solve for

y, x = \frac{1}{3} lo g_{10} (3 y)

\frac{100 0 ^{x}}{3}

f (x) = \frac{10 x - 8}{3 x + 1}

- 4 x

\frac{9 x}{x ^{2} - 1}

f (x) = lo g_{10} (x + 2)

f (x) = \frac{1}{4} (x + 5)^{2} - 2

What is the inverse of y= 1/3 log_{10}(3x) ?
The inverse of y= 1/3 log_{10}(3x) is (1000^x)/3