Let XYZ be an equilateral triangle in which XY 7 cm If A deontes the area of the triangle then what ...........

Quantitative Aptitude (CDS) Simplification

Let XYZ be an equilateral triangle in which XY =7 cm. If A deontes the area of the triangle , then what is the value of log₁₀A⁴? Given that log₁₀1050 =3.0212 and log₁₀35=1.5441)

5.3070

5.3700

5.5635

5.6535

छोटे Courses बड़े Results

Master Simplification

Prepare through Micro-courses

Try Now

Explanation:

log₁₀1050 = log₁₀3x10x35
= log₁₀3 + 1 +log₁₀35
=> 3.0212 = log₁₀3 + 1 + 1.5441
=> log₁₀3 = 0.4771
Next, log₁₀35 = log( 7x10)/2 = log₁₀7+log₁₀10 - log₁₀2
=> 1.5441 = log₁₀7 + 1 - 0.3010
=> log₁₀7=0.8451
Now A = $\tiny \sqrt{3}$ /4(7)²
=> log₁₀A⁴ = 4 log₁₀A = 4 log ( $\tiny \sqrt{3}$ /4(7)2)
= 4[ 1/2log₁₀3 + 2log₁₀7-2log₁₀2]
= 5.3070