Write the logarithmic equation in exponential form. For example, the exponential form of log5(25) = 2 is 52 = 25.log3(243) = 5

Question

Write the logarithmic equation in exponential form. For example, the exponential form of `log5(25) = 2` is `5^2 = 25`. `log3(243) = 5`

🧐 Not the exact question you are looking for?Go ask a question

Solution

To convert logarithmic equations to exponential form, the general relationship is that if $\log_b(a) = c$ , then it can be expressed as $b^c = a$ .

Given Equation:

$\log_3(243) = 5$

Step 1: Identify the Base, Argument, and Result

Base $b = 3$
Argument $a = 243$
Result $c = 5$

Step 2: Convert to Exponential Form

Using the relationship stated earlier:

$3^5 = 243$

Final Answer

The exponential form of $\log_3(243) = 5$ is:

$3^5 = 243$

This problem has been solved

Similar Questions

Write the logarithmic equation in exponential form. For example, the exponential form of ln(5) = 1.6094... is e1.6094... = 5.lne3 = 3e3 =

Express the logarithm ln(8)=2.07944 (to 5 decimal places) in its exponential form. For example, log525=2 is equivalent to 52=25

The properties of logarithms in this section can be used to rewrite log2⁡𝑥5 as follows:𝐴⁢log2⁡𝐵Find the values for 𝐴 and 𝐵:

The logarithmic function f(x)=logbx𝑓(𝑥)=log𝑏⁡𝑥 can also be written in exponential form as:Question 6Select one:a.y=bx𝑦=𝑏𝑥b.x=by𝑥=𝑏𝑦c.b=yx𝑏=𝑦𝑥d.b=xy

Use the properties of logarithms to rewrite and simplify the logarithmic expression.ln2e5

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.