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vazorg [7]
2 years ago
14

Please help!! 50 points!!

Mathematics
1 answer:
vladimir1956 [14]2 years ago
4 0

Answer:

a) below

b) log_35 (8) = x

c) x = 0.58487

Step-by-step explanation:

a) 35^x=8

<em>apply the exponent rule</em>

xln(35) = ln(8) → x = ln(8)/ln(35) → x = 3ln(2)/ln(35)

x = 0.58487

c) log_35 (8) = x

x = log_35 (8)

<em>base form (Rewrite 8 in power)</em>

x = log_35 (2^3)

<em>log rule: log_a(x^b) = b*log_a(x)</em>

log_35 (2^3) = 3log_35(2)

x = 3log_35(2)

x = 0.58487

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