What is the answer to 300*5^{0.1x}=1000 ?

The answer to 300*5^{0.1x}=1000 is x=(ln(10/3))/(0.1ln(5))

Solve for x: 300*5^{0.1x}=1000

The solution is x=(ln(10/3))/(0.1ln(5))

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300 \cdot 5^{0.1 x} = 1000

x = \frac{ln ( \frac{10}{3} )}{0.1 ln ( 5 )}

Solution steps

300 \cdot 5^{0.1 x} = 1000

Divide both sides by

300

5^{0.1 x} = \frac{10}{3}

Apply exponent rules

0.1 x ln (5) = ln (\frac{10}{3})

Solve

0.1 x ln (5) = ln (\frac{10}{3}) : x = \frac{ln ( \frac{10}{3} )}{0.1 ln ( 5 )}

x = \frac{ln ( \frac{10}{3} )}{0.1 ln ( 5 )}

b, a^{b} = c

ln (e^{3 x}) + 5 = 14

(3)^{2 x + 1} - 93 = 0

4^{- 2 x} \cdot 4^{x} = 64

\frac{3 ^{12}}{3 ^{p}} = 3^{4}

What is the answer to 300*5^{0.1x}=1000 ?
The answer to 300*5^{0.1x}=1000 is x=(ln(10/3))/(0.1ln(5))
Solve for x: 300*5^{0.1x}=1000
The solution is x=(ln(10/3))/(0.1ln(5))