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

The answer to (4/5)^x=4 is x=(2ln(2))/(ln(4/5))

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

The solution is x=(2ln(2))/(ln(4/5))

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

x = \frac{2 ln ( 2 )}{ln ( \frac{4}{5} )}

Decimal Notation

x = - 6.21256 \dots

Solution steps

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

Apply exponent rules

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

Solve

x ln (\frac{4}{5}) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( \frac{4}{5} )}

x = \frac{2 ln ( 2 )}{ln ( \frac{4}{5} )}

3^{b} = 17

(23)^{3 x - 4} = 20736

(e^{x} + 1)^{3} e^{- x} d y = 0

2 \cdot 4^{x} - 5 \cdot 2^{x} + 2 = 0

0 = 10 (1 - e^{(- 0.5 t)})

What is the answer to (4/5)^x=4 ?
The answer to (4/5)^x=4 is x=(2ln(2))/(ln(4/5))
Solve for x: (4/5)^x=4
The solution is x=(2ln(2))/(ln(4/5))