Form formula log easily

Aug 6th, 2022
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How to form formula log

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now in this lesson were going to focus on converting logarithmic expressions into exponential equations so consider this logarithmic expression log base 3 of 9 is equal to 2. how can you convert it from logarithmic form to exponential form well here is the generic equation lets say if we have log base a of b is equal to c a raised to the c is equal to b so this is the equivalent expression in exponential form so likewise three raised to the second power is equal to nine so we can write it as three squared is equal to nine now its your turn convert the following logarithmic expression into its exponential form and you can try this one as well 4 raised to the third power is equal to 64. so thats how you can write it in exponential form eight raised to the second power is equal to 64. and so we can write it like this now what about the reverse lets say if we have an equation in exponential form convert it to logarithmic form try these three examples feel free to pause the video so t

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Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay.
LOGARITHMIC EQUATIONSDefinitionAny equation in the variable x that contains a logarithm is called a logarithmic equation.Recall the definition of a logarithm. This definition will be important to understand in order to be able to solve logarithmic equations.ExamplesEXAMPLES OF LOGARITHMIC EQUATIONSLog2 x = -518 more rows
The logarithmic form is written as loga(c)=b. It is a rearrangement of the exponential form, ab=c. Any exponential equation can be written as a logarithm. The logarithmic form is used to calculate an exponent of an equation.
0:39 3:20 Rewriting Logs in Exponential Form - YouTube YouTube Start of suggested clip End of suggested clip Example this is log base b of x equals n. So the inverse of taking the log base b is to exponentiateMoreExample this is log base b of x equals n. So the inverse of taking the log base b is to exponentiate both sides using base B.
0:25 1:41 Writing Exponential Equations in Logarithmic Form - YouTube YouTube Start of suggested clip End of suggested clip The power goes over here so the power is 5. So this number goes there so thats log base 6 of 7776MoreThe power goes over here so the power is 5. So this number goes there so thats log base 6 of 7776 equals 5 lets try another one. So we have 5 to the third equals 125.

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