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If log(cube root of3)to base x = 1/15 then x=?
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If log(cube root of3)to base x = 1/15 then x=?
Given: log(cube root of 3) to base x = 1/15
To Find: Value of x
Solution:
We can solve the given logarithmic equation using the following steps:
Step 1: Express the given equation in exponential form.
log(cube root of 3) to base x = 1/15 can be written as:
x^(1/15) = cube root of 3
Step 2: Write the cube root of 3 in exponential form.
Cube root of 3 can be written as 3^(1/3).
Step 3: Substitute the value of cube root of 3 in the equation obtained in Step 1.
x^(1/15) = 3^(1/3)
Step 4: Raise both sides of the equation to the power of 15.
(x^(1/15))^15 = (3^(1/3))^15
x = 3^5
x = 243
Therefore, the value of x is 243.
Conclusion: The value of x in the given logarithmic equation is 243.
To Find: Value of x
Solution:
We can solve the given logarithmic equation using the following steps:
Step 1: Express the given equation in exponential form.
log(cube root of 3) to base x = 1/15 can be written as:
x^(1/15) = cube root of 3
Step 2: Write the cube root of 3 in exponential form.
Cube root of 3 can be written as 3^(1/3).
Step 3: Substitute the value of cube root of 3 in the equation obtained in Step 1.
x^(1/15) = 3^(1/3)
Step 4: Raise both sides of the equation to the power of 15.
(x^(1/15))^15 = (3^(1/3))^15
x = 3^5
x = 243
Therefore, the value of x is 243.
Conclusion: The value of x in the given logarithmic equation is 243.
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If log(cube root of3)to base x = 1/15 then x=?
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If log(cube root of3)to base x = 1/15 then x=? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If log(cube root of3)to base x = 1/15 then x=? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If log(cube root of3)to base x = 1/15 then x=?.
If log(cube root of3)to base x = 1/15 then x=? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If log(cube root of3)to base x = 1/15 then x=? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If log(cube root of3)to base x = 1/15 then x=?.
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