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
76
100 - 16 = 69 so the x axis would carry the 4 and make it 76
We are given inequality 2(1)/(5) < 2(3)/(5).
This can be read as : 2(1)/(5) is less than 2(3)/(5).
Therefore, 2(3)/(5) is vertically up than 2(1)/(5).
That is On the vertical number line 2(3)/(5) is up and 2(1)/(5) is located below.
Therefore, correct option is B option.
<h3>B. On the vertical number line, `2(3)/(5)` is located below `2(1)/(5)`.</h3>
All other statements are incorrect.
The answer to that question is 70
