Solving Logs 1

The first of 4 skills relating to logarithms actually doesnot require any logs at all. If the bases are equal then the powers must be equal. If 2 ^{x} = 2^{y} and since 2 = 2 then x = y.equal bases Solving Exponential Equations equal powers k + 1 = 2k -k -k Since bases are equal,equate powers.Example: When bases are equal. 1 = k Solving Exponential Equations Example:When bases are different. Now that bases are equal,equate powers.5•(2p+2) = 210p + 10 = 210p = -8 Re-express with the same base.2 ^{5•(2p+2)} = 2^{2}p = ^{-8}/_{10}p = ^{-4}/_{5}base of 2 Solve for r. Bases are equal, equate the powers. Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for x. Bases are equal, equate the powers. Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for v. Bases are equal, equate the powers. Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for a. Bases are equal, equate the powers. Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for n. Bases are equal, equate the powers. Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for n. Bases are not equal, re-express with the same base then equate the powers. What base should be used ? Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for x. Bases are not equal, re-express withthe same base then equate the powers. What base should be used ? Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for k. Bases are not equal, re-express withthe same base then equate the powers. What base should be used ? Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for x. Bases are not equal, re-express withthe same base then equate the powers. What base should be used ? Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations Solve for r. Bases are not equal, re-express withthe same base then equate the powers. What base should be used ? Answer: Round to hundredths (ie. 2.34 or 0.63 or -2.00) Solving Exponential Equations |

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