Question

solve log x to the base 4-log 5 to the base 4=log 60 to the base 4​

Answer 1

Hey Buddy

Here's The Answer

__________________________

Given :

• log₄ ( x ) - log₄ ( 5 ) = log₄ ( 60 )

To Find :

• Value of x

Properties Used :

1. logₓ ( a ) - logₓ ( b ) = logₓ ( a/b )
2. logₓ ( a ) = y => a = xʸ
3. x⁰ = 1

Solution :

=> log₄ ( x ) - log₄ ( 5 ) = log₄ ( 60 )

• Using property ( 1 )

=> log₄ ( x/5 ) = log₄ ( 60 )

=> log₄ ( x/5 ) - log₄ ( 60 ) = 0

• Using property ( 1 )

=> log₄ [ ( x/5 )/60 ] = 0

• Using property ( 2 )

=> ( x/5 )/60 = 4⁰

• Using property ( 3 )

=> x / 300 = 1

=> x = 300

Hope It Helps.