Question

solve each equation?

a)5^3^x = 5^15

b)6^3^+^7^c = 6^2^c^-^3

c)2^5^w = 16

Answer 1

a) 3^x = 15
x log 3 = log 15
x = log 15 / log 3 = 2.46

Answer 2

(5^3)^x = 5^15 or 5^(3^x) = 5^15 ??

Answer 3

2^5^w = 16
2^5^w = 2^4
5^w=4
wln5=ln4
w=(ln4)/(ln5)

Answer 4

\[\LARGE (5^3)^x=5^{15} \longrightarrow 5^{3x}=5^{3\cdot5} \longrightarrow x=??\]