What is the answer to 6^{2x+3}=15^x ?

The answer to 6^{2x+3}=15^x is x=-(3ln(6))/(ln(12/5))

Solve for x: 6^{2x+3}=15^x

The solution is x=-(3ln(6))/(ln(12/5))

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6^{2 x + 3} = 1 5^{x}

x = - \frac{3 ln ( 6 )}{ln ( \frac{12}{5} )}

Decimal Notation

x = - 6.13988 \dots

Solution steps

6^{2 x + 3} = 1 5^{x}

Apply exponent rules

(2 x + 3) ln (6) = x ln (15)

Solve

(2 x + 3) ln (6) = x ln (15) : x = - \frac{3 ln ( 6 )}{ln ( \frac{12}{5} )}

x = - \frac{3 ln ( 6 )}{ln ( \frac{12}{5} )}

7^{(x - 2)} = 5^{x}

e^{x} - e^{- x} = 1

1 3^{x - 3} = 9

(0.2)^{x} = 25

x, z = y^{3} e^{x^{2}}

What is the answer to 6^{2x+3}=15^x ?
The answer to 6^{2x+3}=15^x is x=-(3ln(6))/(ln(12/5))
Solve for x: 6^{2x+3}=15^x
The solution is x=-(3ln(6))/(ln(12/5))