Question

Value of Log 5832 to the Base 3 Square Root 2
Find the value of log 5832 to the base 3 square root 2.

Answer 1

We need to find the value of Log 5832 with the base as 3√2.

5832 can be written as 18³ (eighteen cube) and 3√2 can be written as √18

Let Log5832 = x

Therefore, (√18)^x = 18³

This can be simplified further:
(18)^(x/2) = 18³
or
x/2 = 3. Therefore, x = 6

So we have our answer as 6

Answer 2

Answer:

We need to find the value of Log 5832 with the base as 3√2.

5832 can be written as 18³ (eighteen cube) and 3√2 can be written as √18

Let Log5832 = x

Therefore, (√18)^x = 18³

This can be simplified further:

(18)^(x/2) = 18³

or

x/2 = 3. Therefore, x = 6

So we have our answer as 6

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Step-by-step explanation: