Question

Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth.

From the least to the greatest, the solutions are:

x ≈
and x ≈
.

Answer 1

Assuming log means base 10, solve
log10(−5.6x + 1.3) = −1 − x, with domain −5.6x + 1.3 > 0 ⇒ x < 1.3/5.6 ≈ 0.2321.

Using a graphing or numerical solver gives two roots (in increasing order)
x ≈ −2.1 and x ≈ 0.2 (rounded to the nearest tenth).