SOMEONE HELP PLS EXPLAIN STEP BY STEP WHAT TO DO IM SO CONFUSED

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

x = log(33)/(3·log(2))

Step-by-step explanation:

The relevant logarithm relation is ...

log(a^b) = b·log(a)

Taking the logarithm of both sides of your equation gives ...

2^(3x) = 33

log(2^(3x)) = log(33)

(3x)·log(2) = log(33)

The coefficient of x is 3·log(2). Dividing by that gives the value of x:

x = log(33)/(3·log(2))

x ≈ 1.51851/(3·0.301030) ≈ 1.6814647

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