Question

77. Resolva as equações:
a) log3 x = 5
b) logx 36 = 2
c) log2 (x + 1) = 4
d) logx-1 6 = 1
e) log 1/2 (x - 2) = -3
f) log2 (x^2 + x + 2) = 3

Answer 1

Explicação passo-a-passo:

a) log3 x = 5

3⁵=x

243=x

b) logx 36 = 2

x²=36

x=√36

x=6

c) log2 (x + 1) = 4

2⁴=x+1

16=x+1

16-1=x

15=x

d) logx-1 6 = 1

(x-1)¹=6

x-1=6

x=6+1

x=7

e) log 1/2 (x - 2) = -3

(1/2)-³=x-2

(2/1)³=x-2

8=x-2

8+2=x

10=x