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# Find the value of log₁₀(1/40) given that log₁₀4 = 0.60217

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**Find the value of log₁₀(1/40) given that log₁₀4 = 0.60217**

**A.**** ****1.6021**

**B.**** 1.3979**

**C.**** ****2.3979**

**D.**** ****-1.6021**

**QUICK ANSWER…**

**D**

**DETAILS…**

**We have been given all we need to do the calculation…**

**log₁₀(1/40)**

**= log₁₀40¯¹**

**= – 1log₁₀40**

**= – 1(log₁₀4 × 10)**

**= – 1(log₁₀4 + log₁₀10)**

**But log₁₀10 = 1, hence, we have:**

**= – 1(log₁₀4 + 1)**

**Recall we were given log₁₀4 as 0.60217**

**= – 1(0.60217+ 1)**

**= – 1(1.60217)**

**= – 1.60217**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is incorrect.****C is not correct.****D is the correct answer.**

**KEY-POINTS…**

**You may please note these/this:**

**If you have access to a calculator, you can quickly do the log of 1/40.****In the absence of a calculator, you can quickly apply about three laws of logarithm as done above to arrive at the right answer.****If you love our answers, you can login to comment and say hi to us at the comment section…**

**To raise new related question****s, c****lick the ASK A QUESTION BOTTON down this page…**

**/ culled from 2020 JAMB-UTME mathematics past question 25 /**