How do you solve 10^(x+2) - 12 = 22 10x+2−12=22 and find any extraneous solutions? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Ratnaker Mehta Jul 22, 2016 The Soln. is x=-0.4685x=−0.4685 Explanation: 10^(x+2)-12=22 rArr 10^(x+2)=12+22=3410x+2−12=22⇒10x+2=12+22=34 rArrlog_(10)10^(x+2)=log_(10)34⇒log1010x+2=log1034 rArr (x+2)log_(10)10=1.5315⇒(x+2)log1010=1.5315..................[Using LogTable] rArr (x+2)*1=1.5315⇒(x+2)⋅1=1.5315 rArr x+2=1.5315⇒x+2=1.5315 rArr x=1.5315-2⇒x=1.5315−2 rArr x=-0.4685⇒x=−0.4685 is the Soln. Answer link Related questions What is the common logarithm of 10? How do I find the common logarithm of a number? What is a common logarithm or common log? What are common mistakes students make with common log? How do I find the common logarithm of 589,000? How do I find the number whose common logarithm is 2.6025? What is the common logarithm of 54.29? What is the value of the common logarithm log 10,000? What is log_10 10log1010? How do I work in log_10log10 in Excel? See all questions in Common Logs Impact of this question 1477 views around the world You can reuse this answer Creative Commons License