# Rewrite in exponential form: Log(6) 1294 = 4

• MHB
• Vi Nguyen
In summary, exponential form is a mathematical representation of a number in the form of a base raised to an exponent. To rewrite a logarithm in exponential form, you can use the inverse relationship between logarithms and exponents. The base of a logarithm is the number that is raised to a power to get the input of the logarithm, and the exponent in exponential form indicates how many times the base is multiplied by itself. To check if your exponential form is correct, you can use a calculator to evaluate the original logarithm and the rewritten exponential form. They should give the same result.
Vi Nguyen
Rewrite in exponential form:
Log(6) 1294 = 4
Log(w) v = t

Ln(1/4) = x
Evaluate

Log(4) 64 = ?

Log(16) 4 = ?

Vi Nguyen said:
Rewrite in exponential form:
Log(6) 1294 = 4

sure that isn't 1296 ?Log(w) v = t

if you meant w to be the base of the logarithm ... $w^t = v$

Ln(1/4) = x

$e^x = \dfrac{1}{4}$
Evaluate

Log(4) 64 = ?

note that $4^3 = 64$

Log(16) 4 = ?

note $16^{1/2} = 4$

logarithm to exponential relationship ...

$\log_b(a) = c \implies b^c = a$

Thanks

## 1. What is the exponential form of Log(6) 1294?

The exponential form of Log(6) 1294 is 6^4 = 1294.

## 2. How do you rewrite Log(6) 1294 in exponential form?

To rewrite Log(6) 1294 in exponential form, we simply need to raise the base (6) to the power of the logarithm (4) to get 6^4 = 1294.

## 3. Can you explain the concept of logarithms and exponential form?

Logarithms and exponential form are inverse operations. Logarithms help us solve for the power (exponent) that a certain base needs to be raised to in order to get a specific number. For example, in Log(6) 1294 = 4, the logarithm is 4, which tells us that 6 needs to be raised to the power of 4 to get 1294. In exponential form, this would be written as 6^4 = 1294.

## 4. Why is it important to rewrite logarithms in exponential form?

Rewriting logarithms in exponential form can help us solve for unknown variables and simplify complex equations. It also allows us to easily convert between logarithmic and exponential expressions.

## 5. Is there a specific method for rewriting logarithms in exponential form?

Yes, the general rule for rewriting logarithms in exponential form is: Log(base) number = exponent, which can be written as base^exponent = number. In the given example, Log(6) 1294 = 4 can be rewritten as 6^4 = 1294.

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