Shade question in LOG

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How to shade question in LOG

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all right so to answer this question we need to understand two properties so we have log this is the first property over here log Bas C of a minus log Bas C of B so what this property says it says that when you have the logs like this and the same bases so b c b c what you need to do here is to to write it in this form log base what base C we maintain the base and then we say a over a b this is a property okay you just need to know this property when youamp;#39;ve got log Bas C of a minus log Bas C of B so you just write log c um I mean log base C over what is here over what is here this is a property okay the other property which we need to know itamp;#39;s this one when youamp;#39;ve got log a b is equal to C you see the way it looks log base a log base a of B is equal to C so when they ask you to solve for b youamp;#39;re going to say B is equal to okay a this a power C these are the two properties we need in order for us to answer this question okay so now letamp;#39;s try to

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What if there is a number before log?

When there is a number before the log it is the exponent of the number being logged.

What is the rule for raising a number to a log?

If you raise a number to the power of a logarithm that has that number as its base, it is equal to the number that you used in the logarithm. 8. log (10r) = r (in the case of natural logarithms, ln er = r)Because logarithms and exponents reverse each other, this rule is similar to rule number seven.

What are the 7 properties of logarithms?

What are All Properties of Logarithms? log 1 = 0. logₐ a = 1. log ab = log a + log b. log a/b = log a - log b. log am = m log a. logba = (log a)/(log b) alogₐ x = x.

How do you solve logs with numbers?

Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8. In the same fashion, since 102 = 100, then 2 = log10 100.

What are the symbols for log?

The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x. Parentheses are sometimes added for clarity, giving ln(x), loge(x), or log(x). This is done particularly when the argument to the logarithm is not a single symbol, so as to prevent ambiguity.

How do you take a number out of a log?

A logarithm is the inverse of an exponent. The equation log x = 100 is another way of writing 10x = 100. This relationship makes it possible to remove logarithms from an equation by raising both sides to the same exponent as the base of the logarithm.

How to do log questions?

0:01 25:26 Now you might already see the answer but im going to go ahead and solve. It. Now we know that 2 toMoreNow you might already see the answer but im going to go ahead and solve. It. Now we know that 2 to the 4th power is 16..

What to do if there is a number in front of a log?

If there is a number in front of the log symbol, it is a coefficient. When you see the expression a*logb(c), you would first find the log base b of c, and then multiply the result by a.

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