What is the answer to 0.75^x=0.5 ?

The answer to 0.75^x=0.5 is x=(ln(0.5))/(ln(0.75))

Solve for x: 0.75^x=0.5

The solution is x=(ln(0.5))/(ln(0.75))

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0.7 5^{x} = 0.5

x = \frac{ln ( 0.5 )}{ln ( 0.75 )}

Decimal Notation

x = 2.40942 \dots

Solution steps

0.7 5^{x} = 0.5

Apply exponent rules

x ln (0.75) = ln (0.5)

Solve

x ln (0.75) = ln (0.5) : x = \frac{ln ( 0.5 )}{ln ( 0.75 )}

x = \frac{ln ( 0.5 )}{ln ( 0.75 )}

7^{x + 3} = 7^{2 x + 1}

9^{3 x + 1} = 2 7^{x + 2}

a lo g_{3} (4) = 2. 4^{- a}

7^{(- x + 4)} = 1

0.284 3^{x} = 70

What is the answer to 0.75^x=0.5 ?
The answer to 0.75^x=0.5 is x=(ln(0.5))/(ln(0.75))
Solve for x: 0.75^x=0.5
The solution is x=(ln(0.5))/(ln(0.75))