Math Problem Statement

Solve log x=5

Solution

To solve the equation logx=5\log x = 5, we need to recall that the logarithm logx\log x is typically assumed to be a base 10 logarithm unless otherwise stated. This means the equation logx=5\log x = 5 is equivalent to:

105=x10^5 = x

So, the solution is:

x=100,000x = 100,000

Summary:

The solution to logx=5\log x = 5 is x=100,000x = 100,000.

Would you like a more detailed explanation or have any follow-up questions? Here are some related questions for further practice:

  1. Solve logx=3\log x = 3.
  2. Solve log(2x)=5\log (2x) = 5.
  3. If logx=2\log x = -2, what is xx?
  4. Convert logx=5\log x = 5 to exponential form and explain the process.
  5. What is the value of log1000\log 1000?

Tip: Always make sure to check whether the base of the logarithm is specified (such as log2x\log_2 x for base 2 or lnx\ln x for natural logarithms), as the method to solve can vary.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Equations

Formulas

log x = y -> x = 10^y

Theorems

Logarithmic property: log base 10

Suitable Grade Level

Grades 7-9