Problem 18
Question
Write each equation in its equivalent logarithmic form. $$b^{3}=343$$
Step-by-Step Solution
Verified Answer
\(\log_b 343 = 3\)
1Step 1: Identify the base, exponent and result of the given exponential equation
We have \(b^{3}=343\). Here, b is the base, 3 is the exponent (also called power), and 343 is the result.
2Step 2: Convert to logarithmic form
Using the logarithmic identity \(\log_b x = y\) where, b is base, x is result, and y is power, our equation can now be written as \(\log_b 343 = 3\).
Other exercises in this chapter
Problem 17
Graph each function by making a table of coordinates. If applicable, use a graphing unility to confirm your hand-drawn graph. $$f(x)=4^{x}$$
View solution Problem 18
Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$9^{x}=\frac{1}{\sqrt[3]{3}}$$
View solution Problem 18
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 18
Graph each function by making a table of coordinates. If applicable, use a graphing unility to confirm your hand-drawn graph. $$f(x)=5^{x}$$
View solution