21-07-2021
Mathematics

contestada

(2/3)^x-1=27/8, Find x. Please show a step-by-step explanation.
NB:x is an exponent.

[tex]( \frac{2}{3} ) {x - 1 = \frac{27}{8} }^{?} [/tex]

Respuesta :

loconte loconte

21-07-2021

Answer:

x = -2

[tex](2/3)^{(x-1)} = \frac{27}{8}[/tex]

Step-by-step explanation:

you have to use logs here

[tex]ln((2/3)^{x} ) =ln(27/8)\\x ln((2/3) ) =ln(275/8)\\\\[/tex]

x-1 =ln(27/8)/ ln(2/3)

x -1 = -3

x = -2

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