What is the answer to log_{81}(2r-1)=(-1)/2 ?

The answer to log_{81}(2r-1)=(-1)/2 is r= 5/9

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log_{81}(2r-1)=(-1)/2

lo g_{81} (2 r - 1) = \frac{- 1}{2}

r = \frac{5}{9}

Decimal Notation

r = 0.55555 \dots

Solution steps

lo g_{81} (2 r - 1) = \frac{- 1}{2}

Apply log rules

2 r - 1 = \frac{1}{9}

Solve

2 r - 1 = \frac{1}{9} : r = \frac{5}{9}

r = \frac{5}{9}

x, ln (x) - ln (x^{2}) = 5

ln (0.004174 x) = 0.000012248 x

ln (x) = ln (1) + 3 ln (2)

2 x = ln (3 + x)

4 ln (x) = ln (4 x)

What is the answer to log_{81}(2r-1)=(-1)/2 ?
The answer to log_{81}(2r-1)=(-1)/2 is r= 5/9
Solve for r: log_{81}(2r-1)=(-1)/2
The solution is r= 5/9