What is the answer to 1.14(1.0134)^x=4.23 ?

The answer to 1.14(1.0134)^x=4.23 is x=(ln(141/38))/(ln(1.0134))

Solve for x: 1.14(1.0134)^x=4.23

The solution is x=(ln(141/38))/(ln(1.0134))

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1.14 (1.0134)^{x} = 4.23

x = \frac{ln ( \frac{141}{38} )}{ln ( 1.0134 )}

Decimal Notation

x = 98.50291 \dots

Solution steps

1.14 (1.0134)^{x} = 4.23

Multiply both sides by

100

114 \cdot 1.013 4^{x} = 423

Divide both sides by

114

1.013 4^{x} = \frac{141}{38}

Apply exponent rules

x ln (1.0134) = ln (\frac{141}{38})

Solve

x ln (1.0134) = ln (\frac{141}{38}) : x = \frac{ln ( \frac{141}{38} )}{ln ( 1.0134 )}

x = \frac{ln ( \frac{141}{38} )}{ln ( 1.0134 )}

7^{2 x} + 7^{x} - 12 = 0

y, y = e^{x + y}

2^{4 x + 1} \times 8^{- x + 3} = \frac{1}{16}

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

e^{\frac{x}{2}} = 2 e^{2 x}

What is the answer to 1.14(1.0134)^x=4.23 ?
The answer to 1.14(1.0134)^x=4.23 is x=(ln(141/38))/(ln(1.0134))
Solve for x: 1.14(1.0134)^x=4.23
The solution is x=(ln(141/38))/(ln(1.0134))