Replace question in LOG

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How to replace question in LOG

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good day here we have a halflife question and I wrote down the formula for you so you can copy down if youamp;#39;d like if you havenamp;#39;t memorized it yet and um so here we go so 60 lbs of a radioactive substance were left in your cousinamp;#39;s garage by his neighbor as a friendly prank um donamp;#39;t do this at home of course after 3 years only 48 lbs of the same substance were left now what is the half life of the substance so here weamp;#39;re cons we want to find the halflife and the halflife itself is this element here the this big T the little T is time so in this case 3 years and the initial amount is represented by a0 or a not and um that is the 60 lb that we started with so after 3 years you only have 48 lbs left so here we go so we have 48 equal 60 * half to the^ of 3 over Big T the half life and of course we want to solve for this for the Big T my first step will be to divide both sides of the equation by 60 okay so we get 48 divid by 60 and uh I guess Iamp;#39

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What are the rules of logarithms?

Comparison of Exponent law and Logarithm law Properties/RulesExponentsLogarithms Product Rule xp.xq = xp+q loga(mn) = logam + logan Quotient Rule xp/xq = xp-q loga(m/n) = logam logan Power Rule (xp)q = xpq logamn = n logam

What are the 7 rules of logarithms?

The names of these rules are: Product rule. Division rule. Power rule/Exponential Rule. Change of base rule. Base switch rule. Derivative of log. Integral of log.

How do you rewrite in log form?

To convert from exponential to logarithmic form, we follow the same steps in reverse. We identify the base b, exponent x, and output y. Then we write x=logb(y) x = l o g b ( y ) .

How many laws of logarithms are there?

Summary Table: The 7 Laws of Logarithms Rule NameExplanation Product Rule Log of a product is the sum of the logs. Quotient Rule Log of a quotient is the difference of the logs. Power Rule Log of a power is the exponent times the log. Change of Base Rule Allows changing the base of a log to a different base.3 more rows Apr 8, 2024

How to solve questions on logarithms?

How do you solve logarithms step by step? If the unknown is outside the log, then evaluate the log. Most logs need a calculator to evaluate. If the unknown is inside the log, convert to exponential form. If there are multiple logs in an equation, try to combine as many as possible.

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.

What are the 7 laws of logarithm?

What are Logarithm Rules? Product Rule. Quotient Rule. Zero Rule. Identity Rule. Power Rule or Exponential Rule. Change of Base Rule. Reciprocal Rule.

How do you replace logarithms?

0:16 2:38 You can type it in your calculator as log 16 divided by log 2.. Now when you type it in yourMoreYou can type it in your calculator as log 16 divided by log 2.. Now when you type it in your calculator like this its automatically going to make it base 10.. So regardless of whatever the new base.

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