What is the answer to log_{9}(y)-2=log_{3}(y) ?

The answer to log_{9}(y)-2=log_{3}(y) is y= 1/81

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log_{9}(y)-2=log_{3}(y)

lo g_{9} (y) - 2 = lo g_{3} (y)

y = \frac{1}{81}

Decimal Notation

y = 0.01234 \dots

Solution steps

lo g_{9} (y) - 2 = lo g_{3} (y)

Apply log rules

y = \frac{1}{81}

Verify Solutions:

y = \frac{1}{81}

True

The solution is

y = \frac{1}{81}

x, ln (y) = ln (1 + x) + c

lo g_{3} (x + 1) + lo g_{3} (x - 1) = 1

lo g_{10} (x - 3) = 3

lo g_{3} (2 x - 1) = 3

- lo g_{10} (x) = 5

What is the answer to log_{9}(y)-2=log_{3}(y) ?
The answer to log_{9}(y)-2=log_{3}(y) is y= 1/81
Solve for y: log_{9}(y)-2=log_{3}(y)
The solution is y= 1/81