Problem 15
Question
Write each equation in its equivalent logarithmic form. $$13^{2}=x$$
Step-by-Step Solution
Verified Answer
The logarithmic form of the given exponential equation is \(log_{13}x = 2\).
1Step 1: Identify the Base, Exponent and Result
Firstly, identify the base, exponent, and result in the given exponential equation. In the equation \(13^2 = x\), 13 is the base, 2 is the exponent, and x is the result.
2Step 2: Convert the Exponential form to Logarithmic form
Now we convert the equation from its exponential form to logarithmic form using the conversion rule mentioned before. This leads us to \(log_{13}x = 2\). This is now the logarithmic form of given equation.
Other exercises in this chapter
Problem 15
Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$6^{\frac{x-3}{4}}=\sqrt{6}$$
View solution Problem 15
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 16
Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$7^{\frac{x-2}{6}}=\sqrt{7}$$
View solution Problem 16
Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calcula
View solution