you would have to do out the equation of 117 divided by 6.5 which would give you 18 feet per second
What logarithmic equation has the same solution as x-4=2^3
TO solve for x, Let us add 4 on both sides
But, x=12 is not a logarithmic equation and there are no options
So, an equation like, x=㏒
As log has base 10,
So, x=㏒ =12
So, logarithmic equation like x=log has same solution as x-4=2³
is required lograthmic equation.
Given: Given equation, x - 4 = 2³
To find: Logarithmic function whose solution is same as given equation.
First we find the solution of given Equation.
x - 4 = 2³
x - 4 = 8 ( ∵ 2³ = 2×2×2 = 8 )
x = 8 + 4 ( Transposing 4 to RHS )
x = 12
Now we find the logarithmic equation whose solution is also x = 12.
( There exist many such equations )
Lets say one of them is,
Now we find its solution to check if it is same or not.
(using lograthmic rule,)
⇒ 2 × ( x + 2 ) = 28 (using lograthmic rule, )
⇒ 2x + 4 = 28
⇒ 2x = 28 - 4 (transposing 4 to RHS)
⇒ 2x = 24 (transposing 2 to RHS)
⇒ x = 12
Therefore, is required lograthmic equation.