step 1 In this question, we have to simplify the expression to the power of low. Now, we know that the

Question

Simplify. $$10^{\log w}$$

Name: Problem 71, Chapter 5: Algebra and Trigonometry
Uploaded: 2020-07-13T05:42:19-08:00
Duration: 1 min 58 s
Channel: Ankit Gupta
Description: Simplify. 10^logw

   Simplify.
$$10^{\log w}$$

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 5, Problem 71

Instant Answer

Solved by Expert Ankit Gupta

07/13/2020

Step 1

Here, the base of the logarithm is 10. Show more…

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Simplify. $$10^{\log w}$$

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Key Concepts

Inverse Relationship of Exponentiation and Logarithms

Exponentiation and logarithmic functions are inverses of each other when they share the same base. This means that raising a base, such as 10, to the logarithm (with that same base) of any number reverses the logarithm operation and returns the original number, which allows for immediate simplification of expressions like 10^(log w).

Exponential and Logarithmic Functions

These functions form the backbone of many algebraic manipulations and equations. The exponential function raises a constant base to a variable exponent, while the logarithm function answers the question of what power the base must be raised to obtain a given number. This inverse relationship is vital for simplifying expressions and solving equations that involve both logarithms and exponentials.

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