What is the answer to 0.2=(4/5)^x ?

The answer to 0.2=(4/5)^x is x=(ln(0.2))/(ln(4/5))

Solve for x: 0.2=(4/5)^x

The solution is x=(ln(0.2))/(ln(4/5))

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0.2 = (\frac{4}{5})^{x}

x = \frac{ln ( 0.2 )}{ln ( \frac{4}{5} )}

Decimal Notation

x = 7.21256 \dots

Solution steps

0.2 = (\frac{4}{5})^{x}

Apply exponent rules

ln (0.2) = x ln (\frac{4}{5})

Solve

ln (0.2) = x ln (\frac{4}{5}) : x = \frac{ln ( 0.2 )}{ln ( \frac{4}{5} )}

x = \frac{ln ( 0.2 )}{ln ( \frac{4}{5} )}

2^{x + 2} - 3 x (2^{x - 1}) = 20

(1 + x) \cdot 4 = 2^{x}

2187 = \frac{3 ^{n} - 1}{2}

10 = 95 \cdot 0.91 4^{x}

What is the answer to 0.2=(4/5)^x ?
The answer to 0.2=(4/5)^x is x=(ln(0.2))/(ln(4/5))
Solve for x: 0.2=(4/5)^x
The solution is x=(ln(0.2))/(ln(4/5))