What is the answer to 2.5^x=0.0087 ?

The answer to 2.5^x=0.0087 is x=(ln(0.0087))/(ln(2.5))

Solve for x: 2.5^x=0.0087

The solution is x=(ln(0.0087))/(ln(2.5))

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2. 5^{x} = 0.0087

x = \frac{ln ( 0.0087 )}{ln ( 2.5 )}

Decimal

x = - 5.17786 \dots

Solution steps

2. 5^{x} = 0.0087

Apply exponent rules

x ln (2.5) = ln (0.0087)

Solve

x ln (2.5) = ln (0.0087) : x = \frac{ln ( 0.0087 )}{ln ( 2.5 )}

x = \frac{ln ( 0.0087 )}{ln ( 2.5 )}

3^{x - 1} + 3^{x} + 3^{x + 1} = 13

5000 = 2750 e^{(0.08 t)}

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

(\frac{2}{3})^{x} \times (\frac{9}{8})^{x} = \frac{27}{64}

3^{2 x} + 2 \cdot 3^{(x + 1)} = 16

What is the answer to 2.5^x=0.0087 ?
The answer to 2.5^x=0.0087 is x=(ln(0.0087))/(ln(2.5))
Solve for x: 2.5^x=0.0087
The solution is x=(ln(0.0087))/(ln(2.5))