Question

Desarrolla correctamente las siguientes ecuaciones exponenciales: 3* = 27 2* -5=59 . 3+1 = 81 . 2x+3 +2* = 72​

Answer 1

Ejercicio 1

$\mathrm{3^x=27}$

$\mathrm{3^x=3^3}$

$\boxed{\mathbf{x = 3}}$

Ejercicio 2

$\mathrm{2^x-5 = 59}$

$\mathrm{2^x=64}$

$\mathrm{2^x=2^6}$

$\boxed{\mathbf{x = 6}}$

Ejercicio 3

$\mathrm{3^{x+1}=81}$

$\mathrm{3^{x+1}=3^4}$

$\mathrm{x+1=4}$

$\boxed{\mathbf{x = 3}}$

Ejercicio 4

$\mathrm{2^{x+3}+2^x=72}$

$\mathrm{2^x.2^3+2^x=72}$

$\mathrm{2^x(2^3+1)=72}$

$\mathrm{2^x(9)=72}$

$\mathrm{2^x=8}$

$\boxed{\mathbf{x = 3}}$

Atte.: Miroku24

Answer 2

$\boxed{\bold{\huge{\gray{¡Buenas ! }} }}$

$\boxed{\bold{\huge{{¡Buenas ! }} }}$

$2 {}^{x} - 5 = 59 \\ 2 {}^{x} = 59 + 5 \\ 2 {}^{x} = 64 \\ 2 {}^{x} = 2 {}^{6} \\ x = 6$

$3 {}^{ {x}^{} } = 27 \\ 3 {}^{x} = 3 {}^{3} \\ x = 3$

$3 {}^{x + 1} = 81 \\ 3 {}^{x + 1} = 3 {}^{4} \\ x + 1 = 4 \\ x = 4 - 1 \\ x = 3$

$2 {}^{x + 3} + 2 {}^{x} = 72 \\ (2 {}^{3} + 1) \times 2 {}^{x} = 72 \\ (8 + 1) \times 2 {}^{x} = 72 \\9 \times 2 {}^{x} = 72 \\ 2 {}^{x = 8} \\ 2 {}^{x} = 8 \\ x = 3$

Espera que te haya servido.

Un cordial saludo.