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Popular Functions >

Evaluate log base 3 of a/3

Solution

simplify

lo g_{3} (\frac{a}{3})

Solution

lo g_{3} (a) - 1

Solution steps

lo g_{3} (\frac{a}{3})

Apply log rule:

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

lo g_{3} (\frac{a}{3}) = lo g_{3} (a) - lo g_{3} (3)

= lo g_{3} (a) - lo g_{3} (3)

lo g_{3} (3) = 1

= lo g_{3} (a) - 1

Popular Examples

Find the Domain and Range y = log of x domain and range

y = lo g_{10} (x)

Find the x and y Intercepts f(x) = log of x-4 intercepts

f (x) = lo g_{10} (x) - 4

Find the Equation with a Point and Slope What is the equation of the line that passes through the point (-3,7) and has a slope of 1/3 ?line

m = \frac{1}{3}, (- 3, 7)

Find the Perpendicular Line Find the equation of a line perpendicular to y+1=-1/2x that passes through the point (-8,7)

y + 1 = \frac{- 1}{2 x}, (- 8, 7)

Find the Average Rate of Change Given the function g(x)=-x^2+4x+9 , determine the average rate of change of the function over the interval -2<=x<=4 average rate of change

g (x) = - x^{2} + 4 x + 9, - 2 \leq x \leq 4

Frequently Asked Questions (FAQ)

What is simplify log_{3}(a/3) ?
The solution to simplify log_{3}(a/3) is log_{3}(a)-1