Answer:
log₁₀(10³) + log₁₀(10⁴)
= log₁₀( 10³ × 10⁴ )
= log₁₀( 10³⁺⁴)
= log₁₀( 10⁷)
Step-by-step explanation:
Given:
log₁₀(10³) + log₁₀(10⁴) = log₁₀(10⁷)
Now,
we know the property of log function that
log(A) + log(B) = log(AB)
therefore,
applying the above property on the LHS, we get
log₁₀(10³) + log₁₀(10⁴) = log₁₀( 10³ × 10⁴ )
also,
xᵃ + xᵇ = xᵃ⁺ᵇ
therefore,
log₁₀( 10³ × 10⁴ ) = log₁₀( 10³⁺⁴)
= log₁₀( 10⁷)
Hence,
LHS = RHS
Hence proved
Answer:
k = -4
Step-by-step explanation:
(k - 10)/2 = -7
First: multiply by 2 to get rid of the denominator
2(k - 10)/2 = 2(-7)
k - 10 = -14
Next: add 10 to both sides to isolate k
k - 10 + 10 = -14 + 10
k = -4
Answer:
The answer is 25 percent
Solution: The needed answer for first blank is 1 and the needed a for second blank is 1.
Explanation:
The given equation is 
.
The form of perfect square is 
.
The given equation can be written as 
.
To make the perfect square we can add or subtract 
in the given equation. Where, a is coefficient of 
and b is coefficient of x. In the parenthesis the coefficient of is 1 and coefficient of x is 2.
So, the given equation is written as 
Therefore, the needed answer for first blank is 1 and the needed a for second blank is 1.
You use inclined planes by putting an object on something and push it down like a ramp.
