Please tell me how to find x from af solve the following equ

solve the following equations for x. (Round your answers to four (a) loga(5) E logaOX x 3.5803 (b) 10log (x) 4 x 1.9376 (c) 75 6 x 2- 0.0308 (d) log2 (ln(x)) 3 x 0.9031 (e) 10 x 6.9078 4x 2 4 x 0.1309

Solution

c) 7^(5x) = 6

take natural log on both sides

7^(5x) = 6

ln(7^5x) = ln(6)

5x*ln(7) = ln(6)

5x = ln(6)/ln(7)

x = ln(6)/ln(7)/5 = 0.1842

d) log2(lnx) = 3

Use the property : loga(x) = y ---> x = a^y

So, ln(x) = 2^3

ln(x) = 8

x = e^8 = 2980.9680

f) e^x = 10^3

Take natural log on both sides:

ln(e^x) = ln(10^3)

x = ln(1000)

x = 6.9078