What is the answer to -7*3^{0.25x}=-10 ?

The answer to -7*3^{0.25x}=-10 is x=(ln(10/7))/(0.25ln(3))

Solve for x: -7*3^{0.25x}=-10

The solution is x=(ln(10/7))/(0.25ln(3))

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- 7 \cdot 3^{0.25 x} = - 10

x = \frac{ln ( \frac{10}{7} )}{0.25 ln ( 3 )}

Decimal Notation

x = 1.29863 \dots

Solution steps

- 7 \cdot 3^{0.25 x} = - 10

Divide both sides by

- 7

3^{0.25 x} = \frac{10}{7}

Apply exponent rules

0.25 x ln (3) = ln (\frac{10}{7})

Solve

0.25 x ln (3) = ln (\frac{10}{7}) : x = \frac{ln ( \frac{10}{7} )}{0.25 ln ( 3 )}

x = \frac{ln ( \frac{10}{7} )}{0.25 ln ( 3 )}

2^{- x} \cdot 2^{3 x} = 64

9^{3 p} = 2 7^{1 - 3 p}

e^{x - 1} - 2 = 0

2^{x - 1} = 3^{2 x + 1}

\frac{5 ^{2 x} - 1}{5 ^{x} + 1} = 4

What is the answer to -7*3^{0.25x}=-10 ?
The answer to -7*3^{0.25x}=-10 is x=(ln(10/7))/(0.25ln(3))
Solve for x: -7*3^{0.25x}=-10
The solution is x=(ln(10/7))/(0.25ln(3))