What is the answer to (2^{x+5})/(3^{x+5)}=0.01156 ?

The answer to (2^{x+5})/(3^{x+5)}=0.01156 is x=(5ln(2)-ln(2.80908))/(ln(3)-ln(2))

Solve for x: (2^{x+5})/(3^{x+5)}=0.01156

The solution is x=(5ln(2)-ln(2.80908))/(ln(3)-ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{2 ^{x + 5}}{3 ^{x + 5}} = 0.01156

x = \frac{5 ln ( 2 ) - ln ( 2.80908 )}{ln ( 3 ) - ln ( 2 )}

Decimal Notation

x = 6.00021 \dots

Solution steps

\frac{2 ^{x + 5}}{3 ^{x + 5}} = 0.01156

Apply exponent rules

(x + 5 + lo g_{2} (3) (- x - 5)) ln (2) = ln (0.01156)

Solve

(x + 5 + lo g_{2} (3) (- x - 5)) ln (2) = ln (0.01156) : x = \frac{5 ln ( 2 ) - ln ( 2.80908 )}{ln ( 3 ) - ln ( 2 )}

x = \frac{5 ln ( 2 ) - ln ( 2.80908 )}{ln ( 3 ) - ln ( 2 )}

Verify Solutions:

x = \frac{5 ln ( 2 ) - ln ( 2.80908 )}{ln ( 3 ) - ln ( 2 )}

True

The solution is

x = \frac{5 ln ( 2 ) - ln ( 2.80908 )}{ln ( 3 ) - ln ( 2 )}

3^{x - 1} = 27

3^{2 x - 6} = 9^{4}

x^{l o g_{5} (x)} = 9

2^{4 x} = 8^{7 - x}

x, 7^{x} = e^{t}

What is the answer to (2^{x+5})/(3^{x+5)}=0.01156 ?
The answer to (2^{x+5})/(3^{x+5)}=0.01156 is x=(5ln(2)-ln(2.80908))/(ln(3)-ln(2))
Solve for x: (2^{x+5})/(3^{x+5)}=0.01156
The solution is x=(5ln(2)-ln(2.80908))/(ln(3)-ln(2))