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Mila [183]
3 years ago
9

Help on evaluating expressions

Mathematics
1 answer:
olasank [31]3 years ago
6 0
4log_{216}6\\\\use:\ log_ab=\frac{log_cb}{log_ca}\\\\4log_{216}6=4\cdot\frac{log_66}{log_6216}=4\cdot\frac{1}{log_66^3}=\boxed{\frac{4}{3}}


2log_\frac{1}{2}\frac{1}{16}=2log_\frac{1}{2}\left(\frac{1}{2}\right)^4=4\cdot2log_\frac{1}{2}\frac{1}{2}=4\cdot2\cdot1=\boxed8
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Solve for x in simplest form 15 = 1/3(x+9)
Lorico [155]

Heya!

Your question states: Solve for x in simplest form 15 = 1/3(x+9)

Answer: X = 36

<em>Numerical Explanation:</em>

1. Step by step

   I. 15 = 1/3(x+9)

2. Simplify both sides of the equation:

    II. 15 = 1/3x + 3

3. Flip the equation:

      III. 1/3x + 3 = 15

4. Subtract 3 from both sides:

          IV. 1/3 x +3 = 15

                          -3    -3

5.  Multiply both sides by 3:

              V.  3 * (1/3 x) = (3) * (12)

6. Final answer:

                  VI. x = 36


I Hoped I Helped!


~KINGJUPITER

         


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