What is the answer to (1000)(1.05)^{3x}=3000 ?

The answer to (1000)(1.05)^{3x}=3000 is x=(ln(3))/(3ln(1.05))

Solve for x: (1000)(1.05)^{3x}=3000

The solution is x=(ln(3))/(3ln(1.05))

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(1000) (1.05)^{3 x} = 3000

x = \frac{ln ( 3 )}{3 ln ( 1.05 )}

Decimal Notation

x = 7.50569 \dots

Solution steps

(1000) (1.05)^{3 x} = 3000

Divide both sides by

1000

1.0 5^{3 x} = 3

Apply exponent rules

3 x ln (1.05) = ln (3)

Solve

3 x ln (1.05) = ln (3) : x = \frac{ln ( 3 )}{3 ln ( 1.05 )}

x = \frac{ln ( 3 )}{3 ln ( 1.05 )}

75 = 2 7^{x}

2^{3 x} = 4^{2 x - 1}

e^{7 x} = 17

lo g_{10} (x^{l o g_{10} (x)}) = 1

e^{7 x} = 10

What is the answer to (1000)(1.05)^{3x}=3000 ?
The answer to (1000)(1.05)^{3x}=3000 is x=(ln(3))/(3ln(1.05))
Solve for x: (1000)(1.05)^{3x}=3000
The solution is x=(ln(3))/(3ln(1.05))