en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{7}(49x^2)

Solution

expand

lo g_{7} (49 x^{2})

Solution

2 + 2 lo g_{7} (x)

Solution steps

lo g_{7} (49 x^{2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{7} (49 x^{2}) = lo g_{7} (49) + lo g_{7} (x^{2})

= lo g_{7} (49) + lo g_{7} (x^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{7} (x^{2}) = 2 lo g_{7} (x)

= lo g_{7} (49) + 2 lo g_{7} (x)

lo g_{7} (49) = 2

= 2 + 2 lo g_{7} (x)

Popular Examples

join (48)/(343ln(7))+1/e-1/(e^3)join

\frac{48}{343 ln ( 7 )} + \frac{1}{e} - \frac{1}{e ^{3}}

simplify 4log_{10}(a)-2log_{10}(b)simplify

4 lo g_{10} (a) - 2 lo g_{10} (b)

simplify ln(20.5)-ln(20)simplify

ln (20.5) - ln (20)

simplify 1/4800 ln(100/85)simplify

\frac{1}{4800} ln (\frac{100}{85})

simplify (7e^{2*(ln(10)-ln(7))})/2 simplify

\frac{7 e ^{2 \cdot (l n (10) - l n (7))}}{2}

Frequently Asked Questions (FAQ)

What is expand log_{7}(49x^2) ?
The solution to expand log_{7}(49x^2) is 2+2log_{7}(x)