Question

root 3^5*9^2=3^n3root3=27 what is the value of n​

Answer 1

Answer:

Step-by-step explanation:

3×27−−√=3×9×3−−−−√=3×3×3–√=32.5

32.5=3n

log332.5=log33n

2.5=n

Answer 2

${3}^{5} \times {9}^{2} = {3}^{n} \times 3 \sqrt{3 } \\ = > {3}^{5} \times {3}^{2 \times 2} = {3}^{1 + \frac{1}{2} } \times {3}^{n} \\ = > {3}^{5 + 4} \div {3}^{ \frac{3}{2} } = {3}^{n} \\ = > {3}^{9 - \frac{3}{2} } = {3}^{n} \\ = > {3}^{ \frac{15}{2} } = {3}^{n} \\ = > n = \frac{15}{2} \\ = > n = 7.5$
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