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Popular >

simplify log_{b}(8/7)

Solution

simplify

lo g_{b} (\frac{8}{7})

Solution

3 lo g_{b} (2) - lo g_{b} (7)

Solution steps

lo g_{b} (\frac{8}{7})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{b} (\frac{8}{7}) = lo g_{b} (8) - lo g_{b} (7)

= lo g_{b} (8) - lo g_{b} (7)

Simplify

lo g_{b} (8) : 3 lo g_{b} (2)

= 3 lo g_{b} (2) - lo g_{b} (7)

Popular Examples

simplify log_{10}(2)-log_{10}(0.2)simplify

lo g_{10} (2) - lo g_{10} (0.2)

simplify 2ln(x)-1/8 ln(y)simplify

2 ln (x) - \frac{1}{8} ln (y)

simplify 5*log_{10}(a)+1/2*log_{10}(b)-4*log_{10}(c)simplify

5 \cdot lo g_{10} (a) + \frac{1}{2} \cdot lo g_{10} (b) - 4 \cdot lo g_{10} (c)

simplify (ln(x+h)-ln(x))/h simplify

\frac{ln ( x + h ) - ln ( x )}{h}

simplify log_{10}(m)+log_{10}(n)simplify

lo g_{10} (m) + lo g_{10} (n)

Frequently Asked Questions (FAQ)

What is log_{b}(8/7) ?
The solution to log_{b}(8/7) is 3log_{b}(2)-log_{b}(7)