Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Match the logarithmic functions with their corresponding [tex]$x$[/tex]-values.

1. [tex]$\log_2 x = 5$[/tex]
2. [tex]$\log_{10} x = 3$[/tex]
3. [tex]$\log_4 x = 2$[/tex]
4. [tex]$\log_3 x = 1$[/tex]
5. [tex]$\log_5 x = 4$[/tex]

A. [tex]$625$[/tex]
B. [tex]$16$[/tex]
C. [tex]$1,000$[/tex]
D. [tex]$32$[/tex]

[tex]\[
\begin{array}{c}
\text{1. } \log_2 x = 5 \quad \square \\
\text{2. } \log_{10} x = 3 \quad \square \\
\text{3. } \log_4 x = 2 \quad \square \\
\text{4. } \log_3 x = 1 \quad \square \\
\text{5. } \log_5 x = 4 \quad \square \\
\end{array}
\][/tex]

Sagot :

GinnyAnswer
To match the logarithmic equations with their corresponding [tex]\(x\)[/tex]-values:

Let's start by rewriting each logarithmic equation in its exponential form and then match the results with the corresponding values.

1. [tex]\(\log _2 x=5\)[/tex]

In exponential form, this is:
[tex]\[ 2^5 = x \][/tex]

We can see that [tex]\(x = 32\)[/tex]. So,
[tex]\[ x = 32 \][/tex]

2. [tex]\(\log _{10} x=3\)[/tex]

In exponential form, this is:
[tex]\[ 10^3 = x \][/tex]

We can see that [tex]\(x = 1000\)[/tex]. So,
[tex]\[ x = 1000 \][/tex]

3. [tex]\(\log _4 x=2\)[/tex]

In exponential form, this is:
[tex]\[ 4^2 = x \][/tex]

We can see that [tex]\(x = 16\)[/tex]. So,
[tex]\[ x = 16 \][/tex]

4. [tex]\(\log _3 x=1\)[/tex]

In exponential form, this is:
[tex]\[ 3^1 = x \][/tex]

We can see that [tex]\(x = 3\)[/tex]. So,
[tex]\[ x = 3 \][/tex]

5. [tex]\(\log _5 x=4\)[/tex]

In exponential form, this is:
[tex]\[ 5^4 = x \][/tex]

We can see that [tex]\(x = 625\)[/tex]. So,
[tex]\[ x = 625 \][/tex]

Summarizing the matches:

[tex]\[ \begin{array}{c c} \log _2 x=5 & 32 \\ \log _{10} x=3 & 1000 \\ \log _4 x=2 & 16 \\ \log _3 x=1 & 3 \\ \log _5 x=4 & 625 \\ \end{array} \][/tex]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.