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### High School Mathematics - 27.7 Logarithms - Introduction

 Logarithms and indices are closely related. Just as repeated addition of the same summand evolves a new operation, namely, multiplication; the repeated multiplication by the same factor evolves a new operation called exponentiation. Example: Write 45 = 1024 in the logarithmic form. Solution: log1024 = 5 Example: Find log2 16 Solution: logab = m Hence am = b , a > 0, a not equal to 1 m = log216, then 2m = 16 Since 16 = 24 Hence m = 4 Answer: Directions: Solve the following.
 Q 1: Write in the logarithmic form 27 = 128log 7128 = 2log2128 = 7log1282 = 7 Q 2: Find the value of log r/sub>r4Answer: Q 3: Write in the logarithmic form (0.5)2 = 0.25log0.250.5 = 2log0.50.25 = 2log0.250.25 = 2 Q 4: Express Answer: Q 5: Find the value of log 2sqrt32Answer: Q 6: Find the value of log bb.Answer: Q 7: Epress log21 = 0 in the exponential form.21 = 010 = 220 = 1 Q 8: Find the value of log 327.Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!