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Popular >

simplify log_{b}(3/4)

Solution

simplify

lo g_{b} (\frac{3}{4})

Solution

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

Solution steps

lo g_{b} (\frac{3}{4})

Apply log rule:

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

lo g_{b} (\frac{3}{4}) = lo g_{b} (3) - lo g_{b} (4)

= lo g_{b} (3) - lo g_{b} (4)

Simplify

lo g_{b} (4) : 2 lo g_{b} (2)

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

Popular Examples

simplify log_{10}((85347*15274)/(125386))simplify

lo g_{10} (\frac{85347 \cdot 15274}{125386})

expand log_{3}((sqrt(x))/(27))expand

lo g_{3} (\frac{x}{27})

simplify log_{10}(0.1)+log_{10}(0.01)simplify

lo g_{10} (0.1) + lo g_{10} (0.01)

simplify ln(x)+ln(2x+5)simplify

ln (x) + ln (2 x + 5)

simplify ln(t)+5ln(p^2)-(ln(m))/3 simplify

ln (t) + 5 ln (p^{2}) - \frac{ln ( m )}{3}

Frequently Asked Questions (FAQ)

What is log_{b}(3/4) ?
The solution to log_{b}(3/4) is log_{b}(3)-2log_{b}(2)