Practice30 Create account

If $2^{a} = 3^{b} = 6^{c}$ , which expression equals $c$ ?

Competition practiceAlgebra

Aab/(a + b)
Ba + b
C $(a + b) / ab$
D√(ab)

Step-by-Step Solution

Let each equal

k

. Then

2 = k^{1/ a}, 3 = k^{1/ b}, 6 = k^{1/ c}

. Since

6 = 2 \times 3, 1/ c = 1/ a + 1/ b

, so

c = ab / (a + b)

.

Answer: A) ab/(a + b)

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Algebra practice questions

More Algebra practice

Find the sum of all solutions of 4^x − 3 · 2^(x + 1) + 8 = 0.Solve [√(x + 5) + √(x − 5)] ÷ [√(x + 5) − √(x − 5)] = 3.How many real numbers x satisfy x² − 5|x| + 6 = 0?The squares of three consecutive positive integers add up to 245. What is the sum of the…A two-digit number is 3 more than 4 times the sum of its digits. When 18 is added to it,…