What is the answer to 10^{4x-6}=9^{8x-9} ?

The answer to 10^{4x-6}=9^{8x-9} is x=-(18ln(3)-6ln(10))/(4(ln(10)-4ln(3)))

Solve for x: 10^{4x-6}=9^{8x-9}

The solution is x=-(18ln(3)-6ln(10))/(4(ln(10)-4ln(3)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1 0^{4 x - 6} = 9^{8 x - 9}

x = - \frac{18 ln ( 3 ) - 6 ln ( 10 )}{4 ( ln ( 10 ) - 4 ln ( 3 ) )}

Decimal Notation

x = 0.71222 \dots

Solution steps

1 0^{4 x - 6} = 9^{8 x - 9}

Apply exponent rules

(4 x - 6) ln (10) = (8 x - 9) ln (9)

Solve

(4 x - 6) ln (10) = (8 x - 9) ln (9) : x = - \frac{18 ln ( 3 ) - 6 ln ( 10 )}{4 ( ln ( 10 ) - 4 ln ( 3 ) )}

x = - \frac{18 ln ( 3 ) - 6 ln ( 10 )}{4 ( ln ( 10 ) - 4 ln ( 3 ) )}

7^{x - 2} = 1

5^{x} - 5^{5} - x = 150

x, 2^{x} \cdot 3^{y} = 12

6^{n + 7} = 67

1 2^{5 x} = 3 \cdot 1 5^{3 x}

What is the answer to 10^{4x-6}=9^{8x-9} ?
The answer to 10^{4x-6}=9^{8x-9} is x=-(18ln(3)-6ln(10))/(4(ln(10)-4ln(3)))
Solve for x: 10^{4x-6}=9^{8x-9}
The solution is x=-(18ln(3)-6ln(10))/(4(ln(10)-4ln(3)))