What is the answer to log_{4/9}(27/8)=x ?

The answer to log_{4/9}(27/8)=x is x=-3/2

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log_{4/9}(27/8)=x

lo g_{\frac{4}{9}} (\frac{27}{8}) = x

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

lo g_{\frac{4}{9}} (\frac{27}{8}) = x

Switch sides

x = lo g_{\frac{4}{9}} (\frac{27}{8})

Simplify

lo g_{\frac{4}{9}} (\frac{27}{8}) : - \frac{3}{2}

x = - \frac{3}{2}

3 \cdot (x - 2) - 4 \cdot (2 x + 1) = 7 x

x < 2 and x > - 3

2 (x + 9) < 0

53 t - 5 t^{2} - 4 = 0

2 x^{2} + 32

What is the answer to log_{4/9}(27/8)=x ?
The answer to log_{4/9}(27/8)=x is x=-3/2
Solve for x: log_{4/9}(27/8)=x
The solution is x=-3/2