What is the answer to 17^x=4.7 ?

The answer to 17^x=4.7 is x=(ln(4.7))/(ln(17))

Solve for x: 17^x=4.7

The solution is x=(ln(4.7))/(ln(17))

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1 7^{x} = 4.7

x = \frac{ln ( 4.7 )}{ln ( 17 )}

Decimal

x = 0.54622 \dots

Solution steps

1 7^{x} = 4.7

Apply exponent rules

x ln (17) = ln (4.7)

Solve

x ln (17) = ln (4.7) : x = \frac{ln ( 4.7 )}{ln ( 17 )}

x = \frac{ln ( 4.7 )}{ln ( 17 )}

0.3 \times e^{3 x} = 27

3 6^{x} - 6 \cdot 6^{x} = - 9

2^{3 x - 1} \cdot 4^{2 x + 3} = 8^{3 - x}

3^{5 x} 9^{x^{2}} = 27

3^{2 x} = 1