find the value of log 17 base 4/log 23 base 9 -log17 base 2/log 23 base 3
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Answered by
20
Answer:
0
Step-by-step explanation:
Making the base 4 and 9 as 2 and 3 respectively.
After doing so you will get 0.
Answered by
1
0
Evaluation:
㏒₄17/ ㏒₉23 - ㏒₂17/ ㏒₃23
Simplify the equation we will make the base value same.
㏒₂²17/ ㏒₃²23 - ㏒₂17/ ㏒₃23
Separate the exponents of Base of Logarithms
= 1/2 x ㏒₂17 / 1/2 x ㏒₃23 - ㏒₂17/ ㏒₃23
Now to evaluate the equation mathematically, we have to simplify the logarithmic expression
= 1 x ㏒₂17/ 1 x ㏒₃23 - ㏒₂17/ ㏒₃23
Therefore, the value of the 1st term must be equal to the value of the 2nd term. Therefore, the two mathematically cancel each other out.
= ㏒₂17/ ㏒₃23 - ㏒₂17/ ㏒₃23
= 0
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