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Complete the table for the function y = log₈(x). x | y 1/64 | ___ 1/8 | ___ 1 | ___ 8 | ___ Graph the...

Complete the table for the function y = log₈(x).
x | y
1/64 | ___
1/8 | ___
1 | ___
8 | ___
Graph the function y = log₈(x).
Plot two points with integer coordinates to graph the function.

Answer

  1. Completed table: For x = 1/64, y = −2; for x = 1/8, y = −1; for x = 1, y = 0; for x = 8, y = 1. These follow from 8⁻² = 1/64, 8⁻¹ = 1/8, 8⁰ = 1, and 8¹ = 8.

  2. Plot (1, 0) and (8, 1). Draw an increasing logarithmic curve through them, approaching the vertical asymptote x = 0 from the right.

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