What is the answer to 1.5^x=5.25 ?

The answer to 1.5^x=5.25 is x=(ln(5.25))/(ln(1.5))

Solve for x: 1.5^x=5.25

The solution is x=(ln(5.25))/(ln(1.5))

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1. 5^{x} = 5.25

x = \frac{ln ( 5.25 )}{ln ( 1.5 )}

Decimal Notation

x = 4.08969 \dots

Solution steps

1. 5^{x} = 5.25

Apply exponent rules

x ln (1.5) = ln (5.25)

Solve

x ln (1.5) = ln (5.25) : x = \frac{ln ( 5.25 )}{ln ( 1.5 )}

x = \frac{ln ( 5.25 )}{ln ( 1.5 )}

2^{4 b + 3} = 128

7^{2 x} - 48 (7^{x}) - 49 = 0

8 1^{x - 1} = 3^{8}

16 \cdot 4^{x - 2} = 8^{x^{2} - x}

4 (1.2)^{x} = 36

What is the answer to 1.5^x=5.25 ?
The answer to 1.5^x=5.25 is x=(ln(5.25))/(ln(1.5))
Solve for x: 1.5^x=5.25
The solution is x=(ln(5.25))/(ln(1.5))