What is the answer to 4^x*5^{4x+3}=10^{2x+3} ?

The answer to 4^x*5^{4x+3}=10^{2x+3} is x=(3ln(2))/(2ln(5))

Solve for x: 4^x*5^{4x+3}=10^{2x+3}

The solution is x=(3ln(2))/(2ln(5))

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4^{x} \cdot 5^{4 x + 3} = 1 0^{2 x + 3}

x = \frac{3 ln ( 2 )}{2 ln ( 5 )}

Decimal Notation

x = 0.64601 \dots

Solution steps

4^{x} \cdot 5^{4 x + 3} = 1 0^{2 x + 3}

Apply exponent rules

(x + lo g_{4} (5) (4 x + 3)) ln (4) = (2 x + 3) ln (10)

Solve

(x + lo g_{4} (5) (4 x + 3)) ln (4) = (2 x + 3) ln (10) : x = \frac{3 ln ( 2 )}{2 ln ( 5 )}

x = \frac{3 ln ( 2 )}{2 ln ( 5 )}

2 (1 0^{3 x}) - 3 = 15

7 \cdot 2^{x} = 1

1 0^{x - 2} = 1

8^{x + 2} = 16

e^{x} x + e^{x} = 0

What is the answer to 4^x*5^{4x+3}=10^{2x+3} ?
The answer to 4^x*5^{4x+3}=10^{2x+3} is x=(3ln(2))/(2ln(5))
Solve for x: 4^x*5^{4x+3}=10^{2x+3}
The solution is x=(3ln(2))/(2ln(5))