Question

Tolong jawab soal nomor 3

Answer 1

A. 5^2x-1 = 10
log 5^2x-1 = log 10
2x-1.log 5 = 1
2x-1 = 1/log5
2x = 1/log5 +1
x = (1/log5 +1)/2

b. 2^x+1 = 3^x
log 2^x+1 = log 3^x
x+1 log 2 = x log 3
x+1/x = log3/log2
1+1/x = log3/log2
1/x = log3/log2 -1
x = 1/(log3/log2 -1)

c. log 3^2x = log (2^2)^2-x
2x log3= 4-2x log 2
4-2x/2x = log3/log2
2/x -1 = log3/log2
2/x = log3/log2 +1
x = 2/(log3/log2 +1)

d. log a^x=log 10^2x+1
xlog a = 2x+1
2x+1/x = log a
2+1/x = log a
1/x = log a -2
x = 1/(log a -2)