What is the answer to 8=3(5)^x ?

The answer to 8=3(5)^x is x=(ln(8/3))/(ln(5))

Solve for x: 8=3(5)^x

The solution is x=(ln(8/3))/(ln(5))

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8 = 3 (5)^{x}

x = \frac{ln ( \frac{8}{3} )}{ln ( 5 )}

Decimal Notation

x = 0.60942 \dots

Solution steps

8 = 3 (5)^{x}

Switch sides

3 \cdot 5^{x} = 8

Divide both sides by

3

5^{x} = \frac{8}{3}

Apply exponent rules

x ln (5) = ln (\frac{8}{3})

Solve

x ln (5) = ln (\frac{8}{3}) : x = \frac{ln ( \frac{8}{3} )}{ln ( 5 )}

x = \frac{ln ( \frac{8}{3} )}{ln ( 5 )}

t, x = e^{- 3 t}

4^{x} + 9 \cdot 2^{x} + 23 = 0

\frac{2 ^{x + 2}}{16} = 2

2^{3 x} = \frac{1}{8}

3 \cdot 2^{2 x} - 18 (2^{x}) + 24 = 0