Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Exponential Equation

Find x.

2^(2)^(2)^(2) = 4^(x)

Let me see.

2^[(2)^(2)] = 2^(4) = 16.

I now have 2^(16) = 4^(x).

Let 4^(x) = 2^(2)

2^(16) = 2^(2x)

Same base on both sides means to equate powers.

16 = 2x

16/2 = x

8 = x

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

Re: Exponential Equation

Correct

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Exponential Equation

Correct

Bob

Beautiful. There's nothing more relaxing for me than to stay home resting on days off. I work out math problems and arrange hymns for classical guitar in the early evening hours. I used to go out on days off. Honestly, the city is just too dangerous to enjoy the park, beach, theatre,  etc. I am not exaggerating, Bob. NYC is out of control under democratic leadership.