Exercise algebra.manipulation.exponential.equation
Description
solve exponential equation algebraically
Derivation
3*sqrt 3 == 9^(1-2*x)
⇒ algebra.manipulation.exponents.factor-as-power3*sqrt 3 == (3^2)^(1-2*x)
⇒ algebra.manipulation.exponents.write-as-power3*3^(1/2) == (3^2)^(1-2*x)
⇒ algebra.manipulation.exponents.mul-exponents3*3^(1/2) == 3^(2*(1-2*x))
⇒ algebra.manipulation.exponents.simple-add-exponents3^(3/2) == 3^(2*(1-2*x))
⇒ algebra.manipulation.exponents.equation.same-base3/2 == 2*(1-2*x)
⇒ algebra.equations.linear.distr-times3/2 == 2-4*x
⇒ algebra.equations.coverup.onevar.minus-right1/2 == 4*x
⇒ algebra.equations.coverup.times1/8 == x
⇒ algebra.equations.linear.flipx == 1/8