Question

Hitunglah nilai x!
a. Vx+3=5
b.V2x-5+2=7
c.4^x+3=8^2x-1
d.(10)^x-2=0,1

V= akar
^= pangkat
dijawab pakek cara yah

Answer 1

Verified answer

A.
Vx + 3 = 5
Vx = 5 - 3
Vx = 2
x = 2^2
x = 4

b.
V(2x - 5) + 2 = 7
V(2x - 5) = 7 - 2
V(2x - 5) = 5
2x - 5 = 5^2
2x - 5 = 25
2x = 25 + 5
2x = 30
x = 30/2
x = 15

c.
4^(x + 3) = 8^(2x - 1)
(2^2)^(x + 3) = (2^3)^(2x - 1)
2^(2×(x + 3)) = 2^(3×(2x - 1))
2^(2x + 6) = 2^(6x - 3)
2x + 6 = 6x - 3
2x - 6x = -3 - 6
-4x = -9
x = -9/-4
x = 9/4

d.
(10)^(x - 2) = 0,1
(10)^(x - 2) = 1/10
(10)^(x - 2) = (10)^(-1)
x - 2 = -1
x = -1 + 2
x = 1