Question

plz plz answer the two questions
( exponential equations)
plz answer my questions step by step don't answer directly
plz answer my questions first.​

Answer 1

Answer:

iv) 5^3

Step-by-step explanation:

iv) 25^x= 125

→ 25 = 5×5 = 5^2

→ 125 = 5×5×5 = 5^3

the equation to be solved for x is

25^x = 125 which can be written as

(5^2)^x = 5^3

hope it helps army

purple you ◉‿◉◉‿◉.

Answer 2

Answer:

iv 1.5   v  2/3

Step-by-step explanation:

$(iv)\\25^x=125\\\\(5\times 5)^x=(5\times 5 \times5)\\\\(5^2)^x=5^3\\\\5^{2x}=5^3\\\\=>2x=3\\\\=>x=1.5\\\\\\(v)\\4^{3x+1}=64\\\\4^{3x+1}=4\times 4\times 4\\\\4^{3x+1}=4^3\\\\=>3x+1=3\\\\=>3x=2\\\\=>x=\frac{2}{3}\\\\\\FORMULAE\\\\(a^x)^y=a^{xy}\\\\if\;\;a^x=a^y\\=>x=y$

HOPE IT HELPS