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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

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Exercise 7 Page 325

Rewrite the terms so that they have a common base.

x=- 7

Practice makes perfect

To solve the given exponential equation, we will start by rewriting the terms so that they have a common base.

2^x=1/128

Write as a power

2^x=1/2^7

1/a=a^(- 1)

2^x=2^(- 7)

Now, we have two equivalent expressions with the same base. If both sides of the equation are equal, the exponents must also be equal. 2^x=2^(- 7) ⇔ x=- 7

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Exercises p.325