Erase question in LOG in a few clicks

Aug 6th, 2022
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How to erase question in LOG

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consider the logarithmic equation shown on a screen how can we prove if this equation is true or not in order to prove this logarithmic equation we need to make either the left side equal to the right side or the right side equal to the left side either way we need to make sure that both sides are exactly the same so what Iamp;#39;m going to do in this example is Iamp;#39;m going to start working from the left side and Iamp;#39;m going to change it to the right side if Iamp;#39;m able to do that then this mathematical statement has been proven true so the first thing Iamp;#39;m going to do is use the change of Base formula now just to recap hereamp;#39;s the change of Base formula log base a of B is equal to log B over log a now notice that the new logs on the right side doesnamp;#39;t have a base so we can introduce a new base this could be base c c could be anything it could be five it could be eight it could be 10 it could be e or sometimes you could put nothing there if you

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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).
Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y). They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).
To rid an equation of logarithms, raise both sides to the same exponent as the base of the logarithms.
Explanation: In order to eliminate the log based ten, we will need to raise both sides as the exponents using the base of ten. The ten and log based ten will cancel, leaving just the power on the left side. Change the negative exponent into a fraction on the right side.
The process of taking a log to base 10, is the inverse (opposite operation) of raising the base 10 to a power. In the example 103 = 1000, 3 is the index or the power to which the number 10 is raised to give 1000. When you take the logarithm, to base 10, of 1000 the answer is 3.
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.
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.
That means that if this is a common logarithm (base 10), you would write 4x+3 10^(1/3). This can also be attained by raising both sides to a power of 10 [i.e. 10^(log(4x+3)) 10^(1/3)]. The 10^log cancels itself out and you are left with the 4x+3 on the left.

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