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Popular >

simplify log_{7}(21)

Solution

simplify

lo g_{7} (21)

Solution

1 + lo g_{7} (3)

+1

Decimal Notation

1.56457 \dots

Solution steps

lo g_{7} (21)

Factor the number:

21 = 7 \cdot 3

= lo g_{7} (7 \cdot 3)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{7} (7 \cdot 3) = lo g_{7} (7) + lo g_{7} (3)

= lo g_{7} (7) + lo g_{7} (3)

Apply log rule:

lo g_{a} (a) = 1

lo g_{7} (7) = 1

= 1 + lo g_{7} (3)

Popular Examples

simplify (x/9-1/3)/(1/(x^2)-1/9)simplify

\frac{\frac{x}{9} - \frac{1}{3}}{\frac{1}{x ^{2}} - \frac{1}{9}}

simplify 5/9+2/3 simplify

\frac{5}{9} + \frac{2}{3}

simplify (a^2)/(a^3)simplify

\frac{a ^{2}}{a ^{3}}

simplify (a^2)/(a^7)simplify

\frac{a ^{2}}{a ^{7}}

simplify (a^9)/(a^5)simplify

\frac{a ^{9}}{a ^{5}}

Frequently Asked Questions (FAQ)

What is log_{7}(21) ?
The solution to log_{7}(21) is 1+log_{7}(3)