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) 1.0 5^{3 x} = 3000

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

Decimal Notation

x = 7.50569 \dots

Solution steps

(1000) \cdot 1.0 5^{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 )}

4 9^{x} = 21

320000 = 250342 e^{0.012 x}

3^{5 x + 34} = 81

0 = \frac{4 e ^{x}}{( 4 + e ^{x} ) ^{2}}

6^{a} \cdot 2^{b} = 3^{x}, 2^{a + b}

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))