Problem

Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. \[ 10^{9}=t \]

Solution

Step 1 :Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1.

Step 2 :The given equation is \(10^{9}=t\).

Step 3 :The given equation is in exponential form. To convert it to logarithmic form, we need to remember that the base of the exponential becomes the base of the logarithm, the exponent becomes the value of the logarithm, and the result of the exponential becomes the argument of the logarithm. In other words, if we have an equation in the form \(b^y = x\), it can be rewritten in logarithmic form as \(\log_b x = y\).

Step 4 :The logarithmic form of the given equation is \(\log_{10} t = 9\).

Step 5 :\(\boxed{\log_{10} t = 9}\)

From Solvely APP
Source: https://solvelyapp.com/problems/40072/

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