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:
x=8,−2
Step-by-step explanation:
First, you move all the terms to one side
x^2−6x+9−25=0
Then you simplify
x^2 −6x−16=0
Factor
(x−8)(x+2)=0
Which will result in x=8,−2
Answer:
7/3
Step-by-step explanation:
What you do when you divide is you need to switch the second number and turn the division sign into a multiplication sign.
<em>4 2/3 / 2.</em>
<em>4 2/3 * 1/2=</em>
7/3 as your answer.
Answer:
y = 3 + 1/2 * x
Step-by-step explanation:
The LCM of 12 and 25 is 300