- #1
Vi Nguyen
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Rewrite in exponential form:
Log(6) 1294 = 4
Log(w) v = t
Ln(1/4) = x
Evaluate
Log(4) 64 = ?
Log(16) 4 = ?
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 $16^{1/2} = 4$
The exponential form of Log(6) 1294 is 6^4 = 1294.
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.
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.
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.
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.