Problem 17
Question
Write each equation in its equivalent logarithmic form. $$b^{3}=1000$$
Step-by-Step Solution
Verified Answer
The logarithmic form of the equation \(b^{3}=1000\) is \(log_{b}(1000) = 3\).
1Step 1: Identify Base, Exponent and Result
In the given equation \(b^{3} = 1000\), the base is 'b', the exponent is '3', and the result is '1000'.
2Step 2: Apply Logarithmic Form
Applying the equivalent logarithmic form to the equation: \(log_{b}(1000) = 3\)
Other exercises in this chapter
Problem 16
Write each equation in its equivalent logarithmic form. $$15^{2}=x$$
View solution Problem 17
Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$4^{x}=\frac{1}{\sqrt{2}}$$
View solution Problem 17
Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calcula
View solution Problem 17
Graph each function by making a table of coordinates. If applicable, use a graphing unility to confirm your hand-drawn graph. $$f(x)=4^{x}$$
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