Engineering Science 1036A/B Study Guide - Final Guide: Binary Logarithm

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3. 5 working with the exponential & natural log functions. Part a review of properties (and laws) of exponents and logarithms: evaluate the following without a calculator. a) )5 c) 4-1 + 2-3 50 d) log3. 27: express in exponential form. a) log 2. 3 d) log xa y: express in logarithmic form. a) 104 = 10 000 b) 9: write each expression as a single logarithm. a) b) log 45 log 9 c) log log. 3 x d) log2 x log3 y log4 z: solve for x, to two decimal places. a) 33x 3 = 9x+2 b) 3x = 56 c) 42x+1=98 d) Part b working with exponential and logarithmic expressions and functions in base e : evaluate without using a calculator. 5 : find the solution of each equation correct to three decimal places. ln( 1a) 8 b) 25 g) 0 h) -1. 2a) 26=64 b) 50=1 c) 3-3=1/27 d) ay=x.