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Hote: If there is no number written as a subscript next to log, it is assumed to be a 10:
og a = b means logio a = b
Directions: Write each exponential equation in logarithmic form.
1. 26 = 64
4. 37=2187
2.
4-2-
-
1
16
5. 12²=144
Waits nach logarithmic equation in exponential form.
3.
0 - 12/17
=
6. 5³=125

Hote If there is no number written as a subscript next to log it is assumed to be a 10 og a b means logio a b Directions Write each exponential equation in loga class=

Respuesta :

semsee45

Answer:

[tex]\textsf{1)}\quad \log_{2}64=6[/tex]

[tex]\textsf{2)}\quad \log_{4}\dfrac{1}{16} =-2[/tex]

[tex]\textsf{3)}\quad \log_{\frac{1}{3}}\dfrac{1}{27}=3[/tex]

[tex]\textsf{4)}\quad \log_{3}2187=7[/tex]

[tex]\textsf{5)}\quad \log_{12}144=2[/tex]

[tex]\textsf{6)}\quad \log_{5}125=3[/tex]

Step-by-step explanation:

To write each exponential equation in logarithmic form, we can use the following rule:

[tex]\boxed{\begin{array}{c}\underline{\textsf{Logarithmic Rule}}\\\\a^c=b \iff \log_ab=c\end{array}}[/tex]

Therefore:

[tex]\textsf{1)}\quad 2^6=64 \implies \boxed{\log_{2}64=6}[/tex]

[tex]\textsf{2)}\quad 4^{-2}=\dfrac{1}{16} \implies \boxed{\log_{4}\dfrac{1}{16} =-2}[/tex]

[tex]\textsf{3)}\quad \left(\dfrac{1}{3}\right)^3=\dfrac{1}{27} \implies \boxed{\log_{\frac{1}{3}}\dfrac{1}{27}=3}[/tex]

[tex]\textsf{4)}\quad 3^7=2187 \implies \boxed{\log_{3}2187=7}[/tex]

[tex]\textsf{5)}\quad 12^2=144 \implies \boxed{\log_{12}144=2}[/tex]

[tex]\textsf{6)}\quad 5^3=125 \implies \boxed{\log_{5}125=3}[/tex]

missingchromosone

!<Answer>!

Directions: Write each exponential equation in logarithmic form.

1. 26 = 64

The exponential form is: base^exponent = result

So, in logarithmic form, it becomes: log base(result) = exponent

Therefore, the logarithmic form of 26 = 64 is: log base 2 (64) = 6

2. 4-2-¹ = 1/16

The exponential form is: base^exponent = result

So, in logarithmic form, it becomes: log base(result) = exponent

Therefore, the logarithmic form of 4-2-¹ = 1/16 is: log base 4 (1/16) = -2

3. 0 - 12/17 = -12/17

There seems to be an error in the question. The given expression is not an exponential equation, so it cannot be written in logarithmic form. Please double-check the question.

4. 37 = 2187

The exponential form is: base^exponent = result

So, in logarithmic form, it becomes: log base(result) = exponent

Therefore, the logarithmic form of 37 = 2187 is: log base 3 (2187) = 7

5. 12² = 144

The exponential form is: base^exponent = result

So, in logarithmic form, it becomes: log base(result) = exponent

Therefore, the logarithmic form of 12² = 144 is: log base 12 (144) = 2

Write each logarithmic equation in exponential form.

6. 5³ = 125

The logarithmic form is: log base(result) = exponent

So, in exponential form, it becomes: base^exponent = result

Therefore, the exponential form of log base 5 (125) = 3 is: 5³ = 125

Please note that for question 3, there seems to be an error in the given expression, as it does not match the format of an exponential equation.

Sun <3

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