Answer:
Step-by-step explanation:
The solution of the logarithmic equation is approximately 5.66 .
The logarithm is a simpler way to write a exponential equation.
The exponential equation nˣ = b is written as logₙ b = x ( read as logarithm of b to the base of n is equal to x).
The various properties of logarithm are:
- log x+ log y= log x y
- log x - log y= log(x/y)
- log xⁿ=n log x
The given equation is :
log₂ x = 2.5
This equation is of the form logₐ b=n
We know that from the properties of logarithm logₐ b=n is equivalent to aⁿ=b.
So the given equation can be written as
Solving we get
x=5.6568....
or, x≈5.66
Therefore the logarithm equation has a solution for x where the value of x is approximately 5.66.
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Answer:
KE = 900,000t²
Step-by-step explanation:
The formula for calculating the kinetic energy of a body is expressed as KE = 1/2mv² where;
m is the mass of the sport car = 2000kg
v is the velocity of the car
Since v = at
v = 30t
Substituting the given values into the KE formula;
KE 1/2 * 2000 * (30t)²
KE = 1000*900t²
KE = 900,000t² Joules where t is the time measured in seconds
Answer:
tan <F = 1/√3
Step-by-step explanation:
Using the SOH CAN TOA identity
tan theta = opposite/adjacent]
tan < F = GE/FG
Get GE
Using pythagoras theorem
GE² = 14² - (7√3)²
GE² = 196 - 147
GE² = 49
GE = 7
tan<F = 7/7√3
tan <F = 1/√3
The like terms are 1.3b and -3.2b because they both have the variable b attached to it so you may combine them
(1.3b + (-3.2b) ) + 7.8
-1.9b + 7.8
Hope this helped!
~Just a girl in love with Shawn Mendes