What is the answer to 1.56=1.5^x ?

The answer to 1.56=1.5^x is x=(ln(1.56))/(ln(1.5))

Solve for x: 1.56=1.5^x

The solution is x=(ln(1.56))/(ln(1.5))

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1.56 = 1. 5^{x}

x = \frac{ln ( 1.56 )}{ln ( 1.5 )}

Decimal Notation

x = 1.09673 \dots

Solution steps

1.56 = 1. 5^{x}

Apply exponent rules

ln (1.56) = x ln (1.5)

Solve

ln (1.56) = x ln (1.5) : x = \frac{ln ( 1.56 )}{ln ( 1.5 )}

x = \frac{ln ( 1.56 )}{ln ( 1.5 )}

4^{3 x} = 4^{2 (x + 7)}

2^{2 x + 2} = 128

5^{x + 1} = 255

7^{4 x} = 3.9

y, 7 x + 6 y = e^{y}

What is the answer to 1.56=1.5^x ?
The answer to 1.56=1.5^x is x=(ln(1.56))/(ln(1.5))
Solve for x: 1.56=1.5^x
The solution is x=(ln(1.56))/(ln(1.5))