Doubt in the last step of this to find the final answer indices chapter

Laqshya · 2 May 2026

Thank youu buddyy

Satya · 2 May 2026

Given: 3^x = 5^y = 75^z Step 1: Use a common value Let 3^x = 5^y = 75^z = k Step 2: Take log on each x log3 = log k y log5 = log k z log75 = log k Step 3: Make reciprocal form (important step) 1/x = log3 / logk 1/y = log5 / logk 1/z = log75 / logk Step 4: Break 75 smartly 75 = 3 × 5² So, log75 = log3 + 2log5 Step 5: Substitute in 1/z 1/z = (log3 + 2log5) / logk Split it: 1/z = log3/logk + 2·log5/logk Step 6: Replace using step 3 log3/logk = 1/x log5/logk = 1/y So, 1/z = 1/x + 2/y Final Answer: (a) 1/x + 2/y = 1/z