Question

1) convert the
following into logarithmic form 3y=25​

Answer 1

Step-by-step explanation:

y=25/3

Decimal Form:

y=8.3

Mixed Number Form:

y=8(1/3)

Answer 2

The logarithmic form of 3y = 25​ is ㏒₅ 3y = 2

Given:

3y = 25​  

To find:

Convert the following into the logarithmic form  

Solution:

Logarithmic form:

A logarithm is a power to which a fixed number (called the base) must be raised to produce a given value.

For the equation aᵇ = c, the logarithmic form of this equation with base 2 would be: ㏒ₐ c = b  

Here we have 3y = 25​

25 can be written as 5²    [ ∵ 5 × 5 = 25 ]  

=>  3y = 5²

Using the above Logarithmic form formula,

=> aᵇ = c  ⇒ ㏒ₐ c = b  

=>  5² = 3y  ⇒ ㏒₅ 3y = 2

Therefore,

The logarithmic form of 3y = 25​ is ㏒₅ 3y = 2

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