Undo side in LOG

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Aug 6th, 2022
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How to undo side in LOG

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now in this lesson weamp;#39;re 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 letamp;#39;s say if we have log base a of b is equal to aised 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 itamp;#39;s 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 thatamp;#39;s 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 letamp;#39;s say if we have an equation in exponential form convert it to logarithmic form try these three examples

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To reverse a log base 10, you can use the following equation: 10^log(x) = x. This equation states that raising 10 to the power of the log of a number (x) will result in the original number (x).
How do you find the inverse of a log? First, Change f(x) to y and interchange x and y, then write its exponential equation. Next, solve the function for y and finally change y to f inverse of x.
Lesson Summary. To review, we can undo logarithms by exponentiating. Just like we can multiply both sides of the equation by 2 to undo division, we can exponentiate both sides by 2, or by any number for that matter, turning x = y into bx = by.
0:35 1:21 Lets see how to do this. The first way we can reverse the log base is by using the carrot operator.MoreLets see how to do this. The first way we can reverse the log base is by using the carrot operator. So I will type equals then type the base which is 10 carat. And the log. And say enter.
To do this, we just need to put x = ln(y) into exponential form. First, we need to recognize that ln(y) is a logarithm with base e, where e is an irrational number with an approximate value of 2.71828. ln(y) = log e (y). By the rule, we have that x = ln(y) is equivalent to y = e x.
You can convert the log values to normal values by raising 10 to the power the log values (you want to convert). For instance if you have 0.30103 as the log value and want to get the normal value, you will have: 10^0.30103 and the result will be the normal value.
A base 10 logarithm is the inverse of 10 raised to a power. So to get d out of the log, you can do so by using both sides of the equation as an exponent of 10. and 10logd=d.
Answer and Explanation: The inverse of log10 (x), denoted log(x), is 10x. In general, we have the following rule regarding the inverse function of a logarithmic function. If f(x) = logb (x), then f-1 (x) = bx.

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