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Solving Exponential Equations. Exponential Equations. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For b>0 & b ≠1 if b x = b y , then x=y. Solve by equating exponents.
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Exponential Equations • One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. • For b>0 & b≠1 if bx = by, then x=y
Solve by equating exponents Since they have the same bases we can set their exponents equal to each other and solve for x. Check →
Solve by equating exponents Since they do NOT have the same bases…we have to rewrite so they have common bases. Common base = 2 Distribute! Check →
Solve by equating exponents Common base = 2 How can we make ½ a base of 2? Negative exponents!!! Distribute! Check →
Your turn! Be sure to check your answer!!!
Your turn! Be sure to check your answer!!!
Your turn! Be sure to check your answer!!!
Practice/H.W. Solving Exponential Equations WS