Algebra II

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Solve 4^(x+2)= 160

How would I round this answer to the nearest hundredth?

My answer was 200, I don't believe I worked the problem out correctly.

  • Algebra II -

    (x+2)ln4 = ln160
    x+2 = ln160/ln4
    x = ln160/ln4 - 2
    = 1.66

    Did you think to check whether 4^202 = 160? I mean, 4^4 = 256!

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