### Home > INT3 > Chapter 11 > Lesson 11.2.4 > Problem 11-112

11-112.

Solve the following equations. Write your answers in exact form and approximate form, accurate to three decimal places. Homework Help ✎

–4

*x*^{5}– 6 = –1–7(10

) + 9 = –5^{x}8log

_{7}(1 +*x*) – log_{7}(1) = 7= –2

10* ^{x}* = 2

log_{7}(1) = 0

8 log_{7}(1 + *x*) = 7 ⇒ log_{7} (1 + *x*)^{8} = 7

*x* = 7^{7/8} − 1 ≈ 4.489

Use fraction busters to clear the fractions and then solve the quadratic equation.