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### Question

If $34^0.21 = p, and 34^0.22 = q$ and $p^m = q^4$ then what is the value of m?

**A**

4.19.

**B**

4.43.

**C**

4.33.

**D**

4.73.

**Soln.**

**Ans: a**

Substituting in $p^m = q^4$, we get $34^{0.21m} = 34^{0.22 × 4}$. Bases are same so powers should be same. Hence, $0.21m = {0.22 × 4}$, which gives m = 4.19.