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PSYCHO15rus [73]

3 years ago

7

What is the solution to the equation

2 answers:

nignag [31]3 years ago

8 0

26.....................................................................................................................................................................................................................

kodGreya [7K]3 years ago

4 0

Answer:

You have to combine like terms and use PEMDAS.

Step-by-step explanation:

If you haven´t learned about PEMDAS it stand for Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction; the correct and simplest way to do long multi step equations. So you would actually substitute x for each one of the things it shows x equals, solve the equation and put it down, if that´s what they are looking for. Solve for the X

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What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$

Read more about logarithms at:

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