What is the answer to 5^{x-2}*3^{2x-5}=675 ?

The answer to 5^{x-2}*3^{2x-5}=675 is x=(ln(675)+ln(6075))/(ln(45))

Solve for x: 5^{x-2}*3^{2x-5}=675

The solution is x=(ln(675)+ln(6075))/(ln(45))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{x - 2} \cdot 3^{2 x - 5} = 675

x = \frac{ln ( 675 ) + ln ( 6075 )}{ln ( 45 )}

Decimal Notation

x = 4

Solution steps

5^{x - 2} \cdot 3^{2 x - 5} = 675

Apply exponent rules

(lo g_{3} (5) (x - 2) + 2 x - 5) ln (3) = ln (675)

Solve

(lo g_{3} (5) (x - 2) + 2 x - 5) ln (3) = ln (675) : x = \frac{ln ( 675 ) + ln ( 6075 )}{ln ( 45 )}

x = \frac{ln ( 675 ) + ln ( 6075 )}{ln ( 45 )}

2^{x} - 10 = 6

p, 2^{p - 1} + 5 = 3^{q}

e^{x} = 10

8^{x} = 2

(\frac{9}{4})^{2 x} = \frac{81}{16}

What is the answer to 5^{x-2}*3^{2x-5}=675 ?
The answer to 5^{x-2}*3^{2x-5}=675 is x=(ln(675)+ln(6075))/(ln(45))
Solve for x: 5^{x-2}*3^{2x-5}=675
The solution is x=(ln(675)+ln(6075))/(ln(45))