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Popular >

simplify log_{49}(7)

Solution

simplify

lo g_{49} (7)

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

lo g_{49} (7)

Factor the number:

49 = 7^{2}

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

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{7^{2}} (7) = \frac{1}{2} lo g_{7} (7)

= \frac{1}{2} lo g_{7} (7)

Apply log rule:

lo g_{a} (a) = 1

lo g_{7} (7) = 1

= \frac{1}{2} \cdot 1

Multiply the numbers:

\frac{1}{2} \cdot 1 = \frac{1}{2}

= \frac{1}{2}

Popular Examples

\frac{u}{2} - 5 \leq - 9

simplify (18x^3y^3z^2)/(45xy^4z^4)simplify

\frac{18 x ^{3} y ^{3} z ^{2}}{45 x y ^{4} z ^{4}}

2/3 s-5/6 s+1/2 =-3/2

\frac{2}{3} s - \frac{5}{6} s + \frac{1}{2} = - \frac{3}{2}

2 x = 16

simplify (14x^6y^4)/(7x^5y^3)simplify

\frac{14 x ^{6} y ^{4}}{7 x ^{5} y ^{3}}

Frequently Asked Questions (FAQ)

What is log_{49}(7) ?
The solution to log_{49}(7) is 1/2