What is the answer to 4860*0.9^x=20 ?

The answer to 4860*0.9^x=20 is x=-(5ln(3))/(ln(0.9))

Solve for x: 4860*0.9^x=20

The solution is x=-(5ln(3))/(ln(0.9))

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4860 \cdot 0. 9^{x} = 20

x = - \frac{5 ln ( 3 )}{ln ( 0.9 )}

Decimal Notation

x = 52.13586 \dots

Solution steps

4860 \cdot 0. 9^{x} = 20

Divide both sides by

4860

0. 9^{x} = \frac{1}{243}

Apply exponent rules

x ln (0.9) = ln (\frac{1}{243})

Solve

x ln (0.9) = ln (\frac{1}{243}) : x = - \frac{5 ln ( 3 )}{ln ( 0.9 )}

x = - \frac{5 ln ( 3 )}{ln ( 0.9 )}

5^{3 x - 2} = 4^{x}

\frac{3 2 ^{x}}{8} = 8^{150}

6. 9^{x} = (0.3)^{- x}

5 (1.08)^{x} = 20

2^{2 x + 1} = 5

What is the answer to 4860*0.9^x=20 ?
The answer to 4860*0.9^x=20 is x=-(5ln(3))/(ln(0.9))
Solve for x: 4860*0.9^x=20
The solution is x=-(5ln(3))/(ln(0.9))